52767936 has 224 divisors, whose sum is σ = 174955200. Its totient is φ = 15676416.

The previous prime is 52767929. The next prime is 52767961. The reversal of 52767936 is 63976725.

It is a junction number, because it is equal to n+sod(n) for n = 52767891 and 52767900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819570 + ... + 1819598.

It is an arithmetic number, because the mean of its divisors is an integer number (781050).

Almost surely, 2^52767936 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 52767936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87477600).

52767936 is an abundant number, since it is smaller than the sum of its proper divisors (122187264).

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

52767936 is an equidigital number, since it uses as much as digits as its factorization.

52767936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 52767936 is about 7264.1541833857. The cubic root of 52767936 is about 375.0795351299.

The spelling of 52767936 in words is "fifty-two million, seven hundred sixty-seven thousand, nine hundred thirty-six".