85147920 has 240 divisors, whose sum is σ = 336353472. Its totient is φ = 19031040.

The previous prime is 85147889. The next prime is 85147943. The reversal of 85147920 is 2974158.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102547 + ... + 103373.

Almost surely, 2^85147920 is an apocalyptic number.

85147920 is a gapful number since it is divisible by the number (80) 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 85147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176736).

85147920 is an abundant number, since it is smaller than the sum of its proper divisors (251205552).

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

85147920 is a wasteful number, since it uses less digits than its factorization.

85147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85147920 is about 9227.5630585762. The cubic root of 85147920 is about 439.9378700153.

The spelling of 85147920 in words is "eighty-five million, one hundred forty-seven thousand, nine hundred twenty".