85998624 has 96 divisors (see below), whose sum is σ = 234710784. Its totient is φ = 27552000.

The previous prime is 85998623. The next prime is 85998641. The reversal of 85998624 is 42689958.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85998623) 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, 342499 + ... + 342749.

It is an arithmetic number, because the mean of its divisors is an integer number (2444904).

Almost surely, 2^85998624 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 85998624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117355392).

85998624 is an abundant number, since it is smaller than the sum of its proper divisors (148712160).

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

85998624 is a wasteful number, since it uses less digits than its factorization.

85998624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 85998624 is about 9273.5443062510. The cubic root of 85998624 is about 441.3981420957.

The spelling of 85998624 in words is "eighty-five million, nine hundred ninety-eight thousand, six hundred twenty-four".