87402960 has 120 divisors (see below), whose sum is σ = 295353864. Its totient is φ = 23162880.

The previous prime is 87402949. The next prime is 87403003. The reversal of 87402960 is 6920478.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 87160896 = 492^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 167500 + ... + 168020.

Almost surely, 2^87402960 is an apocalyptic number.

87402960 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 87402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147676932).

87402960 is an abundant number, since it is smaller than the sum of its proper divisors (207950904).

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

87402960 is a wasteful number, since it uses less digits than its factorization.

87402960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87402960 is about 9348.9550218193. The cubic root of 87402960 is about 443.7878216788.

The spelling of 87402960 in words is "eighty-seven million, four hundred two thousand, nine hundred sixty".