85401472 has 64 divisors (see below), whose sum is σ = 194065200. Its totient is φ = 37085184.

The previous prime is 85401457. The next prime is 85401473. The reversal of 85401472 is 27410458.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×85401472² = 14586822839533568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85401473) 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, 26779 + ... + 29797.

Almost surely, 2^85401472 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 85401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97032600).

85401472 is an abundant number, since it is smaller than the sum of its proper divisors (108663728).

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

85401472 is a wasteful number, since it uses less digits than its factorization.

85401472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 85401472 is about 9241.2916846077. The cubic root of 85401472 is about 440.3741170725.

The spelling of 85401472 in words is "eighty-five million, four hundred one thousand, four hundred seventy-two".