85656480 has 384 divisors, whose sum is σ = 347493888. Its totient is φ = 17252352.

The previous prime is 85656469. The next prime is 85656481. The reversal of 85656480 is 8465658.

It is a super-3 number, since 3×85656480³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85656481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616134 + ... + 1616186.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^85656480 is an apocalyptic number.

85656480 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 85656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

85656480 is an abundant number, since it is smaller than the sum of its proper divisors (261837408).

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

85656480 is a wasteful number, since it uses less digits than its factorization.

85656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 85656480 is about 9255.0786058250. The cubic root of 85656480 is about 440.8119991947.

The spelling of 85656480 in words is "eighty-five million, six hundred fifty-six thousand, four hundred eighty".