10922400 has 216 divisors, whose sum is σ = 40520844. Its totient is φ = 2764800.

The previous prime is 10922393. The next prime is 10922413. The reversal of 10922400 is 422901.

It can be written as a sum of positive squares in 6 ways, for example, as 3370896 + 7551504 = 1836^2 + 2748^2 .

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

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266380 + ... + 266420.

Almost surely, 2^10922400 is an apocalyptic number.

10922400 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 10922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

10922400 is an abundant number, since it is smaller than the sum of its proper divisors (29598444).

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

10922400 is a wasteful number, since it uses less digits than its factorization.

10922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

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

The square root of 10922400 is about 3304.9054449409. The cubic root of 10922400 is about 221.8738021492.

The spelling of 10922400 in words is "ten million, nine hundred twenty-two thousand, four hundred".