615468240 has 160 divisors (see below), whose sum is σ = 2146112640. Its totient is φ = 162100224.

The previous prime is 615468229. The next prime is 615468251. The reversal of 615468240 is 42864516.

It is an interprime number because it is at equal distance from previous prime (615468229) and next prime (615468251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 615468195 and 615468204.

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, 177564 + ... + 180996.

It is an arithmetic number, because the mean of its divisors is an integer number (13413204).

Almost surely, 2^615468240 is an apocalyptic number.

615468240 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 615468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073056320).

615468240 is an abundant number, since it is smaller than the sum of its proper divisors (1530644400).

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

615468240 is a wasteful number, since it uses less digits than its factorization.

615468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 615468240 is about 24808.6323685930. The cubic root of 615468240 is about 850.6192672932.

The spelling of 615468240 in words is "six hundred fifteen million, four hundred sixty-eight thousand, two hundred forty".