87961140 has 96 divisors (see below), whose sum is σ = 277173120. Its totient is φ = 23444640.

The previous prime is 87961123. The next prime is 87961183. The reversal of 87961140 is 4116978.

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

It is a junction number, because it is equal to n+sod(n) for n = 87961095 and 87961104.

It is a congruent 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, 42735 + ... + 44745.

It is an arithmetic number, because the mean of its divisors is an integer number (2887220).

Almost surely, 2^87961140 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 87961140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138586560).

87961140 is an abundant number, since it is smaller than the sum of its proper divisors (189211980).

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

87961140 is a wasteful number, since it uses less digits than its factorization.

87961140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 87961140 is about 9378.7600459762. The cubic root of 87961140 is about 444.7305358481.

The spelling of 87961140 in words is "eighty-seven million, nine hundred sixty-one thousand, one hundred forty".