20625696 has 144 divisors (see below), whose sum is σ = 72281664. Its totient is φ = 5432832.

The previous prime is 20625691. The next prime is 20625707. The reversal of 20625696 is 69652602.

20625696 is a `hidden beast` number, since 20 + 625 + 6 + 9 + 6 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20625696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20625691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25815 + ... + 26601.

It is an arithmetic number, because the mean of its divisors is an integer number (501956).

Almost surely, 2^20625696 is an apocalyptic number.

20625696 is a gapful number since it is divisible by the number (26) 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 20625696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36140832).

20625696 is an abundant number, since it is smaller than the sum of its proper divisors (51655968).

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

20625696 is a wasteful number, since it uses less digits than its factorization.

20625696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20625696 is about 4541.5521575778. The cubic root of 20625696 is about 274.2434123751.

It can be divided in two parts, 20625 and 696, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 20625696 in words is "twenty million, six hundred twenty-five thousand, six hundred ninety-six".