87381504 has 300 divisors, whose sum is σ = 310447764. Its totient is φ = 24385536.

The previous prime is 87381499. The next prime is 87381533. The reversal of 87381504 is 40518378.

87381504 is a `hidden beast` number, since 8 + 73 + 81 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2032107 + ... + 2032149.

Almost surely, 2^87381504 is an apocalyptic number.

87381504 is a gapful number since it is divisible by the number (84) 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 87381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155223882).

87381504 is an abundant number, since it is smaller than the sum of its proper divisors (223066260).

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

87381504 is an equidigital number, since it uses as much as digits as its factorization.

87381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87381504 is about 9347.8074434597. The cubic root of 87381504 is about 443.7515044847.

The spelling of 87381504 in words is "eighty-seven million, three hundred eighty-one thousand, five hundred four".