20265624 has 48 divisors (see below), whose sum is σ = 55718520. Its totient is φ = 6652800.

The previous prime is 20265613. The next prime is 20265629. The reversal of 20265624 is 42656202.

20265624 is a `hidden beast` number, since 2 + 0 + 2 + 656 + 2 + 4 = 666.

It is a super-2 number, since 2×20265624² = 821391032218752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20265629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2724 + ... + 6924.

Almost surely, 2^20265624 is an apocalyptic number.

20265624 is a gapful number since it is divisible by the number (24) 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 20265624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27859260).

20265624 is an abundant number, since it is smaller than the sum of its proper divisors (35452896).

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

20265624 is a wasteful number, since it uses less digits than its factorization.

20265624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20265624 is about 4501.7356652740. The cubic root of 20265624 is about 272.6381713782.

The spelling of 20265624 in words is "twenty million, two hundred sixty-five thousand, six hundred twenty-four".