87041640 has 192 divisors, whose sum is σ = 308784960. Its totient is φ = 19568640.

The previous prime is 87041639. The next prime is 87041657. The reversal of 87041640 is 4614078.

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 = 87041598 and 87041607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664375 + ... + 664505.

It is an arithmetic number, because the mean of its divisors is an integer number (1608255).

Almost surely, 2^87041640 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 87041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154392480).

87041640 is an abundant number, since it is smaller than the sum of its proper divisors (221743320).

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

87041640 is a wasteful number, since it uses less digits than its factorization.

87041640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 87041640 is about 9329.6109243634. The cubic root of 87041640 is about 443.1754439296.

The spelling of 87041640 in words is "eighty-seven million, forty-one thousand, six hundred forty".