10622400 has 84 divisors (see below), whose sum is σ = 34866072. Its totient is φ = 2831360.

The previous prime is 10622383. The next prime is 10622401. The reversal of 10622400 is 422601.

It is a super-2 number, since 2×10622400² = 225670763520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10622400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10622401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3694 + ... + 5906.

Almost surely, 2^10622400 is an apocalyptic number.

10622400 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 10622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433036).

10622400 is an abundant number, since it is smaller than the sum of its proper divisors (24243672).

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

10622400 is a wasteful number, since it uses less digits than its factorization.

10622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10622400 is about 3259.2023564056. The cubic root of 10622400 is about 219.8235499769.

The spelling of 10622400 in words is "ten million, six hundred twenty-two thousand, four hundred".