85431276 has 72 divisors (see below), whose sum is σ = 248297504. Its totient is φ = 24261120.

The previous prime is 85431271. The next prime is 85431287. The reversal of 85431276 is 67213458.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85431276.

It is not an unprimeable number, because it can be changed into a prime (85431271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44676 + ... + 46548.

Almost surely, 2^85431276 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 85431276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124148752).

85431276 is an abundant number, since it is smaller than the sum of its proper divisors (162866228).

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

85431276 is a wasteful number, since it uses less digits than its factorization.

85431276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2066 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 85431276 is about 9242.9040890837. The cubic root of 85431276 is about 440.4253393890.

The spelling of 85431276 in words is "eighty-five million, four hundred thirty-one thousand, two hundred seventy-six".