87714792 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 23950080.

The previous prime is 87714787. The next prime is 87714793. The reversal of 87714792 is 29741778.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87714793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1309143 + ... + 1309209.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^87714792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87714792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

87714792 is an abundant number, since it is smaller than the sum of its proper divisors (206045208).

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

87714792 is a wasteful number, since it uses less digits than its factorization.

87714792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 87714792 is about 9365.6175450421. The cubic root of 87714792 is about 444.3149700818.

The spelling of 87714792 in words is "eighty-seven million, seven hundred fourteen thousand, seven hundred ninety-two".