12715920 has 240 divisors, whose sum is σ = 51841920. Its totient is φ = 2806272.

The previous prime is 12715909. The next prime is 12715931. The reversal of 12715920 is 2951721.

12715920 = T₃₁₆ + T₃₁₇ + ... + T₄₇₅.

12715920 is a `hidden beast` number, since 1 + 2 + 71 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12715909) and next prime (12715931).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438466 + ... + 438494.

It is an arithmetic number, because the mean of its divisors is an integer number (216008).

Almost surely, 2^12715920 is an apocalyptic number.

12715920 is a gapful number since it is divisible by the number (10) 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 12715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920960).

12715920 is an abundant number, since it is smaller than the sum of its proper divisors (39126000).

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

12715920 is a wasteful number, since it uses less digits than its factorization.

12715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12715920 is about 3565.9388665539. The cubic root of 12715920 is about 233.4081030223.

The spelling of 12715920 in words is "twelve million, seven hundred fifteen thousand, nine hundred twenty".