87352980 has 96 divisors (see below), whose sum is σ = 287376768. Its totient is φ = 19545600.

The previous prime is 87352949. The next prime is 87352997. The reversal of 87352980 is 8925378.

It is a super-2 number, since 2×87352980² = 15261086229760800, which contains 22 as substring.

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, 3490 + ... + 13670.

It is an arithmetic number, because the mean of its divisors is an integer number (2993508).

Almost surely, 2^87352980 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 87352980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143688384).

87352980 is an abundant number, since it is smaller than the sum of its proper divisors (200023788).

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

87352980 is a wasteful number, since it uses less digits than its factorization.

87352980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 87352980 is about 9346.2816135616. The cubic root of 87352980 is about 443.7032145345.

The spelling of 87352980 in words is "eighty-seven million, three hundred fifty-two thousand, nine hundred eighty".