86762160 has 60 divisors (see below), whose sum is σ = 291378672. Its totient is φ = 23136384.

The previous prime is 86762099. The next prime is 86762167. The reversal of 86762160 is 6126768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (86762167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59532 + ... + 60971.

Almost surely, 2^86762160 is an apocalyptic number.

86762160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86762160 is an abundant number, since it is smaller than the sum of its proper divisors (204616512).

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

86762160 is a wasteful number, since it uses less digits than its factorization.

86762160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120522 (or 120513 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 86762160 is about 9314.6207652271. The cubic root of 86762160 is about 442.7006080731.

The spelling of 86762160 in words is "eighty-six million, seven hundred sixty-two thousand, one hundred sixty".