85996080 has 200 divisors, whose sum is σ = 312203232. Its totient is φ = 21897216.

The previous prime is 85996069. The next prime is 85996091. The reversal of 85996080 is 8069958.

It is an interprime number because it is at equal distance from previous prime (85996069) and next prime (85996091).

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 39 ways as a sum of consecutive naturals, for example, 148752 + ... + 149328.

Almost surely, 2^85996080 is an apocalyptic number.

85996080 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 85996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156101616).

85996080 is an abundant number, since it is smaller than the sum of its proper divisors (226207152).

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

85996080 is a wasteful number, since it uses less digits than its factorization.

85996080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 85996080 is about 9273.4071408517. The cubic root of 85996080 is about 441.3937895921.

The spelling of 85996080 in words is "eighty-five million, nine hundred ninety-six thousand, eighty".