85177620 has 72 divisors (see below), whose sum is σ = 281867040. Its totient is φ = 20648640.

The previous prime is 85177619. The next prime is 85177621. The reversal of 85177620 is 2677158.

85177620 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (85177619) and next prime (85177621).

It is a Harshad number since it is a multiple of its sum of digits (36).

85177620 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85177621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19530 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (3914820).

Almost surely, 2^85177620 is an apocalyptic number.

It is an amenable number.

85177620 is an abundant number, since it is smaller than the sum of its proper divisors (196689420).

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

85177620 is a wasteful number, since it uses less digits than its factorization.

85177620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43045 (or 43040 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85177620 is about 9229.1722272369. The cubic root of 85177620 is about 439.9890148773.

The spelling of 85177620 in words is "eighty-five million, one hundred seventy-seven thousand, six hundred twenty".