87681825 has 144 divisors (see below), whose sum is σ = 205254720. Its totient is φ = 36288000.

The previous prime is 87681809. The next prime is 87681851. The reversal of 87681825 is 52818678.

It is not a de Polignac number, because 87681825 - 2⁴ = 87681809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363705 + ... + 363945.

It is an arithmetic number, because the mean of its divisors is an integer number (1425380).

Almost surely, 2^87681825 is an apocalyptic number.

It is an amenable number.

87681825 is an abundant number, since it is smaller than the sum of its proper divisors (117572895).

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

87681825 is a wasteful number, since it uses less digits than its factorization.

87681825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 87681825 is about 9363.8573782389. The cubic root of 87681825 is about 444.2592988670.

The spelling of 87681825 in words is "eighty-seven million, six hundred eighty-one thousand, eight hundred twenty-five".