21954160 has 40 divisors (see below), whose sum is σ = 52809120. Its totient is φ = 8477952.

The previous prime is 21954151. The next prime is 21954161. The reversal of 21954160 is 6145912.

21954160 = T₂₃₅ + T₂₃₆ + ... + T₅₂₄.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21954161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412 + ... + 7051.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 2^21954160 is an apocalyptic number.

21954160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21954160 is an abundant number, since it is smaller than the sum of its proper divisors (30854960).

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

21954160 is a wasteful number, since it uses less digits than its factorization.

21954160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9499 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 21954160 is about 4685.5266512955. The cubic root of 21954160 is about 280.0091833723.

Subtracting from 21954160 its product of nonzero digits (2160), we obtain a cube (21952000 = 280³).

The spelling of 21954160 in words is "twenty-one million, nine hundred fifty-four thousand, one hundred sixty".