52084560 has 160 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 12441600.

The previous prime is 52084547. The next prime is 52084573. The reversal of 52084560 is 6548025.

It is an interprime number because it is at equal distance from previous prime (52084547) and next prime (52084573).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 287670 + ... + 287850.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^52084560 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 52084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

52084560 is an abundant number, since it is smaller than the sum of its proper divisors (126654000).

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

52084560 is a wasteful number, since it uses less digits than its factorization.

52084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52084560 is about 7216.9633503296. The cubic root of 52084560 is about 373.4533273580.

The spelling of 52084560 in words is "fifty-two million, eighty-four thousand, five hundred sixty".