87661140 has 96 divisors (see below), whose sum is σ = 288148224. Its totient is φ = 19491840.

The previous prime is 87661127. The next prime is 87661151. The reversal of 87661140 is 4116678.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 12720 + ... + 18360.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^87661140 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 87661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144074112).

87661140 is an abundant number, since it is smaller than the sum of its proper divisors (200487084).

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

87661140 is a wasteful number, since it uses less digits than its factorization.

87661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5695 counting only the distinct ones).

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

The square root of 87661140 is about 9362.7528003253. The cubic root of 87661140 is about 444.2243610817.

The spelling of 87661140 in words is "eighty-seven million, six hundred sixty-one thousand, one hundred forty".