87231760 has 240 divisors, whose sum is σ = 274089600. Its totient is φ = 25589760.

The previous prime is 87231733. The next prime is 87231761. The reversal of 87231760 is 6713278.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (87231761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5131272 + ... + 5131288.

It is an arithmetic number, because the mean of its divisors is an integer number (1142040).

Almost surely, 2^87231760 is an apocalyptic number.

87231760 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 87231760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137044800).

87231760 is an abundant number, since it is smaller than the sum of its proper divisors (186857840).

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

87231760 is a wasteful number, since it uses less digits than its factorization.

87231760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 87231760 is about 9339.7944302859. The cubic root of 87231760 is about 443.4978767491.

The spelling of 87231760 in words is "eighty-seven million, two hundred thirty-one thousand, seven hundred sixty".