10634400 has 216 divisors, whose sum is σ = 43059744. Its totient is φ = 2419200.

The previous prime is 10634389. The next prime is 10634411. The reversal of 10634400 is 443601.

It is an interprime number because it is at equal distance from previous prime (10634389) and next prime (10634411).

It is a super-2 number, since 2×10634400² = 226180926720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50295 + ... + 50505.

Almost surely, 2^10634400 is an apocalyptic number.

10634400 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 10634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21529872).

10634400 is an abundant number, since it is smaller than the sum of its proper divisors (32425344).

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

10634400 is a wasteful number, since it uses less digits than its factorization.

10634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

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

The square root of 10634400 is about 3261.0427780083. The cubic root of 10634400 is about 219.9062961829.

The spelling of 10634400 in words is "ten million, six hundred thirty-four thousand, four hundred".