85838472 has 24 divisors (see below), whose sum is σ = 232479390. Its totient is φ = 28612800.

The previous prime is 85838471. The next prime is 85838513. The reversal of 85838472 is 27483858.

It can be written as a sum of positive squares in only one way, i.e., 79816356 + 6022116 = 8934^2 + 2454^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (85838471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 596029 + ... + 596172.

Almost surely, 2^85838472 is an apocalyptic number.

It is an amenable number.

85838472 is an abundant number, since it is smaller than the sum of its proper divisors (146640918).

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

85838472 is a wasteful number, since it uses less digits than its factorization.

85838472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192213 (or 1192206 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 85838472 is about 9264.9053961711. The cubic root of 85838472 is about 441.1239721186.

The spelling of 85838472 in words is "eighty-five million, eight hundred thirty-eight thousand, four hundred seventy-two".