85577808 has 40 divisors (see below), whose sum is σ = 221407456. Its totient is φ = 28483200.

The previous prime is 85577801. The next prime is 85577819. The reversal of 85577808 is 80877558.

It is a super-2 number, since 2×85577808² = 14647122444169728, 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 (85577801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61278 + ... + 62658.

Almost surely, 2^85577808 is an apocalyptic number.

It is an amenable number.

85577808 is an abundant number, since it is smaller than the sum of its proper divisors (135829648).

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

85577808 is a wasteful number, since it uses less digits than its factorization.

85577808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 48.

The square root of 85577808 is about 9250.8274224525. The cubic root of 85577808 is about 440.6770018803.

85577808 divided by its sum of digits (48) gives a palindrome (1782871).

The spelling of 85577808 in words is "eighty-five million, five hundred seventy-seven thousand, eight hundred eight".