21878560 has 96 divisors (see below), whose sum is σ = 58351104. Its totient is φ = 7680000.

The previous prime is 21878531. The next prime is 21878567. The reversal of 21878560 is 6587812.

It is not an unprimeable number, because it can be changed into a prime (21878567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54360 + ... + 54760.

It is an arithmetic number, because the mean of its divisors is an integer number (607824).

Almost surely, 2^21878560 is an apocalyptic number.

21878560 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 21878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175552).

21878560 is an abundant number, since it is smaller than the sum of its proper divisors (36472544).

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

21878560 is a wasteful number, since it uses less digits than its factorization.

21878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 21878560 is about 4677.4522979930. The cubic root of 21878560 is about 279.6874062503.

The spelling of 21878560 in words is "twenty-one million, eight hundred seventy-eight thousand, five hundred sixty".