87325140 has 192 divisors, whose sum is σ = 304496640. Its totient is φ = 18247680.

The previous prime is 87325129. The next prime is 87325153. The reversal of 87325140 is 4152378.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87325098 and 87325107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247204 + ... + 247556.

It is an arithmetic number, because the mean of its divisors is an integer number (1585920).

Almost surely, 2^87325140 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 87325140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152248320).

87325140 is an abundant number, since it is smaller than the sum of its proper divisors (217171500).

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

87325140 is a wasteful number, since it uses less digits than its factorization.

87325140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87325140 is about 9344.7921325196. The cubic root of 87325140 is about 443.6560724297.

The spelling of 87325140 in words is "eighty-seven million, three hundred twenty-five thousand, one hundred forty".