87514752 has 128 divisors (see below), whose sum is σ = 256354560. Its totient is φ = 26284032.

The previous prime is 87514733. The next prime is 87514753. The reversal of 87514752 is 25741578.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87514752.

It is not an unprimeable number, because it can be changed into a prime (87514753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 234438 + ... + 234810.

It is an arithmetic number, because the mean of its divisors is an integer number (2002770).

Almost surely, 2^87514752 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 87514752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128177280).

87514752 is an abundant number, since it is smaller than the sum of its proper divisors (168839808).

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

87514752 is a wasteful number, since it uses less digits than its factorization.

87514752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 87514752 is about 9354.9319612705. The cubic root of 87514752 is about 443.9769487262.

The spelling of 87514752 in words is "eighty-seven million, five hundred fourteen thousand, seven hundred fifty-two".