87826160 has 40 divisors (see below), whose sum is σ = 209721696. Its totient is φ = 34179840.

The previous prime is 87826159. The next prime is 87826169. The reversal of 87826160 is 6162878.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87826169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11876 + ... + 17795.

Almost surely, 2^87826160 is an apocalyptic number.

87826160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87826160 is an abundant number, since it is smaller than the sum of its proper divisors (121895536).

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

87826160 is a wasteful number, since it uses less digits than its factorization.

87826160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29721 (or 29715 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 87826160 is about 9371.5612359948. The cubic root of 87826160 is about 444.5029335988.

The spelling of 87826160 in words is "eighty-seven million, eight hundred twenty-six thousand, one hundred sixty".