85404672 has 88 divisors (see below), whose sum is σ = 253009200. Its totient is φ = 28459008.

The previous prime is 85404653. The next prime is 85404679. The reversal of 85404672 is 27640458.

85404672 is a `hidden beast` number, since 8 + 540 + 46 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85404679) 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, 26104 + ... + 29192.

Almost surely, 2^85404672 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 85404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126504600).

85404672 is an abundant number, since it is smaller than the sum of its proper divisors (167604528).

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

85404672 is a wasteful number, since it uses less digits than its factorization.

85404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85404672 is about 9241.4648189559. The cubic root of 85404672 is about 440.3796172883.

The spelling of 85404672 in words is "eighty-five million, four hundred four thousand, six hundred seventy-two".