87923520 has 84 divisors (see below), whose sum is σ = 302430180. Its totient is φ = 23445504.

The previous prime is 87923513. The next prime is 87923527. The reversal of 87923520 is 2532978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87923513) and next prime (87923527).

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 77580864 = 3216^2 + 8808^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87923527) 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 11 ways as a sum of consecutive naturals, for example, 12385 + ... + 18144.

Almost surely, 2^87923520 is an apocalyptic number.

87923520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87923520 is an abundant number, since it is smaller than the sum of its proper divisors (214506660).

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

87923520 is a wasteful number, since it uses less digits than its factorization.

87923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30552 (or 30539 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87923520 is about 9376.7542358750. The cubic root of 87923520 is about 444.6671247080.

The spelling of 87923520 in words is "eighty-seven million, nine hundred twenty-three thousand, five hundred twenty".