5157360 has 240 divisors, whose sum is σ = 20311200. Its totient is φ = 1161216.

The previous prime is 5157329. The next prime is 5157403. The reversal of 5157360 is 637515.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177826 + ... + 177854.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

Almost surely, 2^5157360 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 5157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155600).

5157360 is an abundant number, since it is smaller than the sum of its proper divisors (15153840).

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

5157360 is a wasteful number, since it uses less digits than its factorization.

5157360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5157360 is about 2270.9821663765. The cubic root of 5157360 is about 172.7729767413.

It can be divided in two parts, 515 and 7360, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 5157360 in words is "five million, one hundred fifty-seven thousand, three hundred sixty".