615616160 has 96 divisors (see below), whose sum is σ = 1530410112. Its totient is φ = 233559040.

The previous prime is 615616159. The next prime is 615616163. The reversal of 615616160 is 61616516.

615616160 = T₃₀₀₀ + T₃₀₀₁ + ... + T₃₁₃₀.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (615616163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481442 + ... + 482718.

It is an arithmetic number, because the mean of its divisors is an integer number (15941772).

Almost surely, 2^615616160 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 615616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765205056).

615616160 is an abundant number, since it is smaller than the sum of its proper divisors (914793952).

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

615616160 is a wasteful number, since it uses less digits than its factorization.

615616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 615616160 is about 24811.6134098531. The cubic root of 615616160 is about 850.6874070255.

The spelling of 615616160 in words is "six hundred fifteen million, six hundred sixteen thousand, one hundred sixty".