87919260 has 96 divisors (see below), whose sum is σ = 289239552. Its totient is φ = 19672320.

The previous prime is 87919243. The next prime is 87919261. The reversal of 87919260 is 6291978.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87919261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457 + ... + 13703.

It is an arithmetic number, because the mean of its divisors is an integer number (3012912).

Almost surely, 2^87919260 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 87919260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144619776).

87919260 is an abundant number, since it is smaller than the sum of its proper divisors (201320292).

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

87919260 is a wasteful number, since it uses less digits than its factorization.

87919260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 87919260 is about 9376.5270756288. The cubic root of 87919260 is about 444.6599430402.

The spelling of 87919260 in words is "eighty-seven million, nine hundred nineteen thousand, two hundred sixty".