87498320 has 240 divisors, whose sum is σ = 272513808. Its totient is φ = 25804800.

The previous prime is 87498319. The next prime is 87498329. The reversal of 87498320 is 2389478.

It can be written as a sum of positive squares in 8 ways, for example, as 2637376 + 84860944 = 1624^2 + 9212^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87498329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 866270 + ... + 866370.

Almost surely, 2^87498320 is an apocalyptic number.

87498320 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 87498320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136256904).

87498320 is an abundant number, since it is smaller than the sum of its proper divisors (185015488).

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

87498320 is a wasteful number, since it uses less digits than its factorization.

87498320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 87498320 is about 9354.0536667265. The cubic root of 87498320 is about 443.9491595603.

The spelling of 87498320 in words is "eighty-seven million, four hundred ninety-eight thousand, three hundred twenty".