87079860 has 180 divisors, whose sum is σ = 318062052. Its totient is φ = 19885824.

The previous prime is 87079849. The next prime is 87079871. The reversal of 87079860 is 6897078.

It is an interprime number because it is at equal distance from previous prime (87079849) and next prime (87079871).

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 59074596 = 5292^2 + 7686^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78832 + ... + 79928.

Almost surely, 2^87079860 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 87079860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159031026).

87079860 is an abundant number, since it is smaller than the sum of its proper divisors (230982192).

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

87079860 is a wasteful number, since it uses less digits than its factorization.

87079860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 87079860 is about 9331.6590164879. The cubic root of 87079860 is about 443.2403005771.

The spelling of 87079860 in words is "eighty-seven million, seventy-nine thousand, eight hundred sixty".