85892080 has 20 divisors (see below), whose sum is σ = 199699272. Its totient is φ = 34356800.

The previous prime is 85892069. The next prime is 85892099. The reversal of 85892080 is 8029858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 536746 + ... + 536905.

Almost surely, 2^85892080 is an apocalyptic number.

85892080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85892080 is an abundant number, since it is smaller than the sum of its proper divisors (113807192).

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

85892080 is a wasteful number, since it uses less digits than its factorization.

85892080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073664 (or 1073658 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 85892080 is about 9267.7980124731. The cubic root of 85892080 is about 441.2157835259.

The spelling of 85892080 in words is "eighty-five million, eight hundred ninety-two thousand, eighty".