87251604 has 96 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 24393600.

The previous prime is 87251603. The next prime is 87251611. The reversal of 87251604 is 40615278.

It is a super-2 number, since 2×87251604² = 15225684801145632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87251603) 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 31 ways as a sum of consecutive naturals, for example, 87549 + ... + 88539.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^87251604 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 87251604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

87251604 is an abundant number, since it is smaller than the sum of its proper divisors (152733036).

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

87251604 is a wasteful number, since it uses less digits than its factorization.

87251604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87251604 is about 9340.8567058916. The cubic root of 87251604 is about 443.5315040449.

The spelling of 87251604 in words is "eighty-seven million, two hundred fifty-one thousand, six hundred four".