85149792 has 360 divisors, whose sum is σ = 325288656. Its totient is φ = 21275136.

The previous prime is 85149781. The next prime is 85149833. The reversal of 85149792 is 29794158.

Its product of digits (181440) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4481559 + ... + 4481577.

Almost surely, 2^85149792 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 85149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162644328).

85149792 is an abundant number, since it is smaller than the sum of its proper divisors (240138864).

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

85149792 is a wasteful number, since it uses less digits than its factorization.

85149792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 85149792 is about 9227.6644932507. The cubic root of 85149792 is about 439.9410940426.

The spelling of 85149792 in words is "eighty-five million, one hundred forty-nine thousand, seven hundred ninety-two".