20765624 has 64 divisors (see below), whose sum is σ = 44928000. Its totient is φ = 8910720.

The previous prime is 20765617. The next prime is 20765669. The reversal of 20765624 is 42656702.

It is a super-2 number, since 2×20765624² = 862422280218752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201557 + ... + 201659.

It is an arithmetic number, because the mean of its divisors is an integer number (702000).

Almost surely, 2^20765624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20765624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

20765624 is an abundant number, since it is smaller than the sum of its proper divisors (24162376).

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

20765624 is a wasteful number, since it uses less digits than its factorization.

20765624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 20765624 is about 4556.9314236666. The cubic root of 20765624 is about 274.8621854921.

The spelling of 20765624 in words is "twenty million, seven hundred sixty-five thousand, six hundred twenty-four".