615006960 has 160 divisors (see below), whose sum is σ = 2029370112. Its totient is φ = 153538560.

The previous prime is 615006949. The next prime is 615006961. The reversal of 615006960 is 69600516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (615006961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252315 + ... + 1252805.

Almost surely, 2^615006960 is an apocalyptic number.

615006960 is a gapful number since it is divisible by the number (60) 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 615006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014685056).

615006960 is an abundant number, since it is smaller than the sum of its proper divisors (1414363152).

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

615006960 is a wasteful number, since it uses less digits than its factorization.

615006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 615006960 is about 24799.3338620214. Note that the first 3 decimals coincide. The cubic root of 615006960 is about 850.4067073287.

The spelling of 615006960 in words is "six hundred fifteen million, six thousand, nine hundred sixty".