85150464 has 144 divisors (see below), whose sum is σ = 265294848. Its totient is φ = 23740416.

The previous prime is 85150423. The next prime is 85150469. The reversal of 85150464 is 46405158.

It is not an unprimeable number, because it can be changed into a prime (85150469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252504 + ... + 252840.

Almost surely, 2^85150464 is an apocalyptic number.

85150464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132647424).

85150464 is an abundant number, since it is smaller than the sum of its proper divisors (180144384).

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

85150464 is a wasteful number, since it uses less digits than its factorization.

85150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85150464 is about 9227.7009054260. The cubic root of 85150464 is about 439.9422513742.

It can be divided in two parts, 851 and 50464, that added together give a palindrome (51315).

The spelling of 85150464 in words is "eighty-five million, one hundred fifty thousand, four hundred sixty-four".