1020261600 has 432 divisors, whose sum is σ = 3853440864. Its totient is φ = 253440000.

The previous prime is 1020261581. The next prime is 1020261629. The reversal of 1020261600 is 61620201.

It is a happy number.

1020261600 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 61 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10101550 + ... + 10101650.

It is an arithmetic number, because the mean of its divisors is an integer number (8920002).

Almost surely, 2^1020261600 is an apocalyptic number.

1020261600 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 1020261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926720432).

1020261600 is an abundant number, since it is smaller than the sum of its proper divisors (2833179264).

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

1020261600 is a wasteful number, since it uses less digits than its factorization.

1020261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1020261600 is about 31941.5340896457. The cubic root of 1020261600 is about 1006.7087585770.

Adding to 1020261600 its reverse (61620201), we get a palindrome (1081881801).

The spelling of 1020261600 in words is "one billion, twenty million, two hundred sixty-one thousand, six hundred".