22676400 has 90 divisors (see below), whose sum is σ = 78705900. Its totient is φ = 6046080.

The previous prime is 22676389. The next prime is 22676417. The reversal of 22676400 is 467622.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451 + ... + 6749.

It is an arithmetic number, because the mean of its divisors is an integer number (874510).

Almost surely, 2^22676400 is an apocalyptic number.

22676400 is a gapful number since it is divisible by the number (20) 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 22676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352950).

22676400 is an abundant number, since it is smaller than the sum of its proper divisors (56029500).

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

22676400 is a wasteful number, since it uses less digits than its factorization.

22676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22676400 is about 4761.9743804435. The cubic root of 22676400 is about 283.0466612202.

The spelling of 22676400 in words is "twenty-two million, six hundred seventy-six thousand, four hundred".