87256416 has 96 divisors (see below), whose sum is σ = 248935680. Its totient is φ = 26601984.

The previous prime is 87256409. The next prime is 87256423. The reversal of 87256416 is 61465278.

It is an interprime number because it is at equal distance from previous prime (87256409) and next prime (87256423).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87256416² = 15227364266330112, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 173221 + ... + 173723.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^87256416 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 87256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124467840).

87256416 is an abundant number, since it is smaller than the sum of its proper divisors (161679264).

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

87256416 is a wasteful number, since it uses less digits than its factorization.

87256416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 87256416 is about 9341.1142804271. The cubic root of 87256416 is about 443.5396576080.

The spelling of 87256416 in words is "eighty-seven million, two hundred fifty-six thousand, four hundred sixteen".