87431520 has 192 divisors, whose sum is σ = 311351040. Its totient is φ = 20428800.

The previous prime is 87431497. The next prime is 87431543. The reversal of 87431520 is 2513478.

It is an interprime number because it is at equal distance from previous prime (87431497) and next prime (87431543).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 152835 + ... + 153405.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^87431520 is an apocalyptic number.

87431520 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 87431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

87431520 is an abundant number, since it is smaller than the sum of its proper divisors (223919520).

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

87431520 is a wasteful number, since it uses less digits than its factorization.

87431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87431520 is about 9350.4823404999. The cubic root of 87431520 is about 443.8361541376.

Adding to 87431520 its reverse (2513478), we get a palindrome (89944998).

The spelling of 87431520 in words is "eighty-seven million, four hundred thirty-one thousand, five hundred twenty".