615139968 has 192 divisors, whose sum is σ = 1818717120. Its totient is φ = 183828480.

The previous prime is 615139963. The next prime is 615139969. The reversal of 615139968 is 869931516.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (615139961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2552328 + ... + 2552568.

It is an arithmetic number, because the mean of its divisors is an integer number (9472485).

Almost surely, 2^615139968 is an apocalyptic number.

615139968 is a gapful number since it is divisible by the number (68) 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 615139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909358560).

615139968 is an abundant number, since it is smaller than the sum of its proper divisors (1203577152).

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

615139968 is a wasteful number, since it uses less digits than its factorization.

615139968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 615139968 is about 24802.0154019789. The cubic root of 615139968 is about 850.4680089342.

The spelling of 615139968 in words is "six hundred fifteen million, one hundred thirty-nine thousand, nine hundred sixty-eight".