10264800 has 288 divisors, whose sum is σ = 41997312. Its totient is φ = 2119680.

The previous prime is 10264781. The next prime is 10264819. The reversal of 10264800 is 846201.

It is an interprime number because it is at equal distance from previous prime (10264781) and next prime (10264819).

It is a super-2 number, since 2×10264800² = 210732238080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218377 + ... + 218423.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^10264800 is an apocalyptic number.

10264800 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 10264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

10264800 is an abundant number, since it is smaller than the sum of its proper divisors (31732512).

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

10264800 is a wasteful number, since it uses less digits than its factorization.

10264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10264800 is about 3203.8726566454. The cubic root of 10264800 is about 217.3285741323.

The spelling of 10264800 in words is "ten million, two hundred sixty-four thousand, eight hundred".