87972480 has 160 divisors (see below), whose sum is σ = 314350740. Its totient is φ = 23445504.

The previous prime is 87972473. The next prime is 87972491. The reversal of 87972480 is 8427978.

87972480 is a `hidden beast` number, since 87 + 97 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 4359744 = 9144^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50992 + ... + 52688.

Almost surely, 2^87972480 is an apocalyptic number.

87972480 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 87972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157175370).

87972480 is an abundant number, since it is smaller than the sum of its proper divisors (226378260).

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

87972480 is a wasteful number, since it uses less digits than its factorization.

87972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87972480 is about 9379.3645840217. The cubic root of 87972480 is about 444.7496466644.

The spelling of 87972480 in words is "eighty-seven million, nine hundred seventy-two thousand, four hundred eighty".