16922400 has 144 divisors (see below), whose sum is σ = 60183648. Its totient is φ = 4096000.

The previous prime is 16922393. The next prime is 16922401. The reversal of 16922400 is 422961.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16922401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26080 + ... + 26720.

It is an arithmetic number, because the mean of its divisors is an integer number (417942).

Almost surely, 2^16922400 is an apocalyptic number.

16922400 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 16922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30091824).

16922400 is an abundant number, since it is smaller than the sum of its proper divisors (43261248).

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

16922400 is a wasteful number, since it uses less digits than its factorization.

16922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16922400 is about 4113.6844798793. The cubic root of 16922400 is about 256.7363241158.

The spelling of 16922400 in words is "sixteen million, nine hundred twenty-two thousand, four hundred".