87251256 has 80 divisors (see below), whose sum is σ = 252865800. Its totient is φ = 28074816.

The previous prime is 87251251. The next prime is 87251299. The reversal of 87251256 is 65215278.

It is a happy number.

It is a super-2 number, since 2×87251256² = 15225563347155072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 87251256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87251251) 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 19 ways as a sum of consecutive naturals, for example, 16471 + ... + 21113.

Almost surely, 2^87251256 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 87251256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126432900).

87251256 is an abundant number, since it is smaller than the sum of its proper divisors (165614544).

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

87251256 is a wasteful number, since it uses less digits than its factorization.

87251256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4677 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 87251256 is about 9340.8380780313. The cubic root of 87251256 is about 443.5309143741.

The spelling of 87251256 in words is "eighty-seven million, two hundred fifty-one thousand, two hundred fifty-six".