20624652 has 108 divisors (see below), whose sum is σ = 58994040. Its totient is φ = 6229872.

The previous prime is 20624623. The next prime is 20624657. The reversal of 20624652 is 25642602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20624652 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 4 + 652 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×20624652² = 850752540242208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20624657) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 896713 + ... + 896735.

Almost surely, 2^20624652 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 20624652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29497020).

20624652 is an abundant number, since it is smaller than the sum of its proper divisors (38369388).

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

20624652 is a wasteful number, since it uses less digits than its factorization.

20624652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

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

The square root of 20624652 is about 4541.4372174456. The cubic root of 20624652 is about 274.2387852189.

Multiplying 20624652 by its sum of digits (27), we get a square (556865604 = 23598²).

20624652 divided by its sum of digits (27) gives a square (763876 = 874²).

The spelling of 20624652 in words is "twenty million, six hundred twenty-four thousand, six hundred fifty-two".