52638020 has 48 divisors (see below), whose sum is σ = 114457728. Its totient is φ = 20321280.

The previous prime is 52638017. The next prime is 52638023. The reversal of 52638020 is 2083625.

It is an interprime number because it is at equal distance from previous prime (52638017) and next prime (52638023).

It is a super-2 number, since 2×52638020² = 5541522299040800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52638023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83105 + ... + 83735.

It is an arithmetic number, because the mean of its divisors is an integer number (2384536).

Almost surely, 2^52638020 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 52638020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57228864).

52638020 is an abundant number, since it is smaller than the sum of its proper divisors (61819708).

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

52638020 is a wasteful number, since it uses less digits than its factorization.

52638020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 52638020 is about 7255.2064064367. The cubic root of 52638020 is about 374.7714637144.

The spelling of 52638020 in words is "fifty-two million, six hundred thirty-eight thousand, twenty".