87440640 has 144 divisors (see below), whose sum is σ = 319256448. Its totient is φ = 19980288.

The previous prime is 87440611. The next prime is 87440651. The reversal of 87440640 is 4604478.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25254 + ... + 28506.

Almost surely, 2^87440640 is an apocalyptic number.

87440640 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 87440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159628224).

87440640 is an abundant number, since it is smaller than the sum of its proper divisors (231815808).

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

87440640 is a wasteful number, since it uses less digits than its factorization.

87440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 87440640 is about 9350.9700031601. The cubic root of 87440640 is about 443.8515858149.

It can be divided in two parts, 874 and 40640, that added together give a palindrome (41514).

The spelling of 87440640 in words is "eighty-seven million, four hundred forty thousand, six hundred forty".