87410904 has 96 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 24790080.

The previous prime is 87410899. The next prime is 87410969. The reversal of 87410904 is 40901478.

It is a super-2 number, since 2×87410904² = 15281332276194432, which contains 22 as substring.

It is a nialpdrome in base 14.

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 23 ways as a sum of consecutive naturals, for example, 280909 + ... + 281219.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2^87410904 is an apocalyptic number.

87410904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87410904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

87410904 is an abundant number, since it is smaller than the sum of its proper divisors (168678696).

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

87410904 is a wasteful number, since it uses less digits than its factorization.

87410904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 87410904 is about 9349.3798724835. The cubic root of 87410904 is about 443.8012664700.

The spelling of 87410904 in words is "eighty-seven million, four hundred ten thousand, nine hundred four".