21295008 has 144 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 6072192.

The previous prime is 21294989. The next prime is 21295013. The reversal of 21295008 is 80059212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42085 + ... + 42587.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^21295008 is an apocalyptic number.

21295008 is a gapful number since it is divisible by the number (28) 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 21295008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

21295008 is an abundant number, since it is smaller than the sum of its proper divisors (51099552).

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

21295008 is a wasteful number, since it uses less digits than its factorization.

21295008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21295008 is about 4614.6514494596. The cubic root of 21295008 is about 277.1783270475.

The spelling of 21295008 in words is "twenty-one million, two hundred ninety-five thousand, eight".