52627920 has 80 divisors (see below), whose sum is σ = 172756800. Its totient is φ = 13207552.

The previous prime is 52627909. The next prime is 52627931. The reversal of 52627920 is 2972625.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52627909) and next prime (52627931).

It is a tau number, because it is divible by the number of its divisors (80).

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, 2370 + ... + 10529.

It is an arithmetic number, because the mean of its divisors is an integer number (2159460).

Almost surely, 2^52627920 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 52627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86378400).

52627920 is an abundant number, since it is smaller than the sum of its proper divisors (120128880).

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

52627920 is a wasteful number, since it uses less digits than its factorization.

52627920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12932 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 52627920 is about 7254.5103211726. The cubic root of 52627920 is about 374.7474922333.

The spelling of 52627920 in words is "fifty-two million, six hundred twenty-seven thousand, nine hundred twenty".