85153404 has 96 divisors (see below), whose sum is σ = 239210496. Its totient is φ = 23063040.

The previous prime is 85153381. The next prime is 85153423. The reversal of 85153404 is 40435158.

85153404 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×85153404² = 14502204425574432, which contains 22 as substring.

85153404 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137704 + ... + 138320.

It is an arithmetic number, because the mean of its divisors is an integer number (2491776).

Almost surely, 2^85153404 is an apocalyptic number.

85153404 is a gapful number since it is divisible by the number (84) 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 85153404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119605248).

85153404 is an abundant number, since it is smaller than the sum of its proper divisors (154057092).

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

85153404 is a wasteful number, since it uses less digits than its factorization.

85153404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85153404 is about 9227.8602070036. The cubic root of 85153404 is about 439.9473146284.

The spelling of 85153404 in words is "eighty-five million, one hundred fifty-three thousand, four hundred four".