87030640 has 80 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 31898880.

The previous prime is 87030617. The next prime is 87030661. The reversal of 87030640 is 4603078.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 87030599 and 87030608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46197 + ... + 48043.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^87030640 is an apocalyptic number.

87030640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

87030640 is an abundant number, since it is smaller than the sum of its proper divisors (132955280).

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

87030640 is a wasteful number, since it uses less digits than its factorization.

87030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 87030640 is about 9329.0213849042. The cubic root of 87030640 is about 443.1567741862.

The spelling of 87030640 in words is "eighty-seven million, thirty thousand, six hundred forty".