4931160 has 128 divisors (see below), whose sum is σ = 16632000. Its totient is φ = 1161216.

The previous prime is 4931159. The next prime is 4931183. The reversal of 4931160 is 611394.

4931160 = T₇₉ + T₈₀ + ... + T₃₁₀.

4931160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4931160.

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, 45186 + ... + 45294.

Almost surely, 2^4931160 is an apocalyptic number.

4931160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4931160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316000).

4931160 is an abundant number, since it is smaller than the sum of its proper divisors (11700840).

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

4931160 is a wasteful number, since it uses less digits than its factorization.

4931160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4931160 is about 2220.6215346159. The cubic root of 4931160 is about 170.2092003553.

It can be divided in two parts, 493 and 1160, that added together give a triangular number (1653 = T₅₇).

The spelling of 4931160 in words is "four million, nine hundred thirty-one thousand, one hundred sixty".