87167040 has 224 divisors, whose sum is σ = 298460160. Its totient is φ = 21504000.

The previous prime is 87167027. The next prime is 87167051. The reversal of 87167040 is 4076178.

It is a junction number, because it is equal to n+sod(n) for n = 87166992 and 87167010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862990 + ... + 863090.

Almost surely, 2^87167040 is an apocalyptic number.

87167040 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 87167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

87167040 is an abundant number, since it is smaller than the sum of its proper divisors (211293120).

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

87167040 is a wasteful number, since it uses less digits than its factorization.

87167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 87167040 is about 9336.3290430447. The cubic root of 87167040 is about 443.3881679148.

The spelling of 87167040 in words is "eighty-seven million, one hundred sixty-seven thousand, forty".