85933776 has 80 divisors (see below), whose sum is σ = 239609664. Its totient is φ = 26437632.

The previous prime is 85933769. The next prime is 85933777. The reversal of 85933776 is 67733958.

It is a super-2 number, since 2×85933776² = 14769227715236352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85933777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42255 + ... + 44241.

Almost surely, 2^85933776 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 85933776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119804832).

85933776 is an abundant number, since it is smaller than the sum of its proper divisors (153675888).

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

85933776 is a wasteful number, since it uses less digits than its factorization.

85933776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2062 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 85933776 is about 9270.0472490705. The cubic root of 85933776 is about 441.2871675123.

The spelling of 85933776 in words is "eighty-five million, nine hundred thirty-three thousand, seven hundred seventy-six".