714918960 has 200 divisors, whose sum is σ = 2837916576. Its totient is φ = 163399680.

The previous prime is 714918937. The next prime is 714918973. The reversal of 714918960 is 69819417.

It is a happy number.

714918960 is a `hidden beast` number, since 71 + 491 + 8 + 96 + 0 = 666.

It is a super-2 number, since 2×714918960² = 1022218238734963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37480 + ... + 53240.

Almost surely, 2^714918960 is an apocalyptic number.

714918960 is a gapful number since it is divisible by the number (70) 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 714918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418958288).

714918960 is an abundant number, since it is smaller than the sum of its proper divisors (2122997616).

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

714918960 is a wasteful number, since it uses less digits than its factorization.

714918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15793 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 714918960 is about 26737.9685092192. The cubic root of 714918960 is about 894.1676186766.

The spelling of 714918960 in words is "seven hundred fourteen million, nine hundred eighteen thousand, nine hundred sixty".