87461610 has 64 divisors (see below), whose sum is σ = 216687744. Its totient is φ = 22579200.

The previous prime is 87461609. The next prime is 87461629. The reversal of 87461610 is 1616478.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259362 + ... + 259698.

It is an arithmetic number, because the mean of its divisors is an integer number (3385746).

Almost surely, 2^87461610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87461610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108343872).

87461610 is an abundant number, since it is smaller than the sum of its proper divisors (129226134).

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

87461610 is a wasteful number, since it uses less digits than its factorization.

87461610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

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

The square root of 87461610 is about 9352.0912099915. The cubic root of 87461610 is about 443.8870644505.

The spelling of 87461610 in words is "eighty-seven million, four hundred sixty-one thousand, six hundred ten".