1063200420 has 72 divisors (see below), whose sum is σ = 3238555320. Its totient is φ = 282332160.

The previous prime is 1063200409. The next prime is 1063200431. The reversal of 1063200420 is 240023601.

It is a happy number.

1063200420 is a `hidden beast` number, since 10 + 632 + 0 + 0 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1063200409) and next prime (1063200431).

It can be written as a sum of positive squares in 4 ways, for example, as 447068736 + 616131684 = 21144^2 + 24822^2 .

It is a super-2 number, since 2×1063200420² = 2260790266176352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1063200393 and 1063200402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31126 + ... + 55634.

It is an arithmetic number, because the mean of its divisors is an integer number (44979935).

Almost surely, 2^1063200420 is an apocalyptic number.

1063200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619277660).

1063200420 is an abundant number, since it is smaller than the sum of its proper divisors (2175354900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1063200420 is a wasteful number, since it uses less digits than its factorization.

1063200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24765 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1063200420 is about 32606.7542082925. The cubic root of 1063200420 is about 1020.6379515491.

The spelling of 1063200420 in words is "one billion, sixty-three million, two hundred thousand, four hundred twenty".