1063770240 has 512 divisors, whose sum is σ = 4071513600. Its totient is φ = 233570304.

The previous prime is 1063770229. The next prime is 1063770241. The reversal of 1063770240 is 420773601.

It is a super-2 number, since 2×1063770240² = 2263214247019315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1063770198 and 1063770207.

It is not an unprimeable number, because it can be changed into a prime (1063770241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9759306 + ... + 9759414.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 2^1063770240 is an apocalyptic number.

1063770240 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 1063770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035756800).

1063770240 is an abundant number, since it is smaller than the sum of its proper divisors (3007743360).

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

1063770240 is a wasteful number, since it uses less digits than its factorization.

1063770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1063770240 is about 32615.4907980855. The cubic root of 1063770240 is about 1020.8202552297.

The spelling of 1063770240 in words is "one billion, sixty-three million, seven hundred seventy thousand, two hundred forty".