85973580 has 144 divisors (see below), whose sum is σ = 325188864. Its totient is φ = 17861760.

The previous prime is 85973557. The next prime is 85973581. The reversal of 85973580 is 8537958.

85973580 is a `hidden beast` number, since 8 + 597 + 3 + 58 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85973581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10759 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (2258256).

Almost surely, 2^85973580 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 85973580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162594432).

85973580 is an abundant number, since it is smaller than the sum of its proper divisors (239215284).

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

85973580 is a wasteful number, since it uses less digits than its factorization.

85973580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85973580 is about 9272.1939151422. The cubic root of 85973580 is about 441.3552908352.

The spelling of 85973580 in words is "eighty-five million, nine hundred seventy-three thousand, five hundred eighty".