52164024 has 128 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 14551040.

The previous prime is 52163959. The next prime is 52164067. The reversal of 52164024 is 42046125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 52163985 and 52164003.

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, 264694 + ... + 264890.

It is an arithmetic number, because the mean of its divisors is an integer number (1202850).

Almost surely, 2^52164024 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 52164024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76982400).

52164024 is an abundant number, since it is smaller than the sum of its proper divisors (101800776).

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

52164024 is a wasteful number, since it uses less digits than its factorization.

52164024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 52164024 is about 7222.4666146684. The cubic root of 52164024 is about 373.6431533895.

The spelling of 52164024 in words is "fifty-two million, one hundred sixty-four thousand, twenty-four".