85344084 has 72 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 24382512.

The previous prime is 85344079. The next prime is 85344173. The reversal of 85344084 is 48044358.

85344084 is a `hidden beast` number, since 8 + 534 + 40 + 84 = 666.

It is a super-2 number, since 2×85344084² = 14567225347598112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2^85344084 is an apocalyptic number.

85344084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85344084 is an abundant number, since it is smaller than the sum of its proper divisors (172058796).

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

85344084 is a wasteful number, since it uses less digits than its factorization.

85344084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 16139 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 85344084 is about 9238.1861856102. The cubic root of 85344084 is about 440.2754542425.

The spelling of 85344084 in words is "eighty-five million, three hundred forty-four thousand, eighty-four".