85756416 has 80 divisors (see below), whose sum is σ = 235961088. Its totient is φ = 27648000.

The previous prime is 85756361. The next prime is 85756457. The reversal of 85756416 is 61465758.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46716 + ... + 48516.

Almost surely, 2^85756416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117980544).

85756416 is an abundant number, since it is smaller than the sum of its proper divisors (150204672).

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

85756416 is a wasteful number, since it uses less digits than its factorization.

85756416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1837 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 85756416 is about 9260.4760136831. The cubic root of 85756416 is about 440.9833653569.

The spelling of 85756416 in words is "eighty-five million, seven hundred fifty-six thousand, four hundred sixteen".