87459840 has 288 divisors, whose sum is σ = 330908760. Its totient is φ = 21233664.

The previous prime is 87459829. The next prime is 87459863. The reversal of 87459840 is 4895478.

It can be written as a sum of positive squares in 4 ways, for example, as 57517056 + 29942784 = 7584^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87459840² = 15298447225651200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198044 + ... + 1198116.

Almost surely, 2^87459840 is an apocalyptic number.

87459840 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 87459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165454380).

87459840 is an abundant number, since it is smaller than the sum of its proper divisors (243448920).

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

87459840 is a wasteful number, since it uses less digits than its factorization.

87459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87459840 is about 9351.9965782714. The cubic root of 87459840 is about 443.8840700495.

The spelling of 87459840 in words is "eighty-seven million, four hundred fifty-nine thousand, eight hundred forty".