85908024 has 48 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 28379904.

The previous prime is 85908019. The next prime is 85908029. The reversal of 85908024 is 42080958.

It is an interprime number because it is at equal distance from previous prime (85908019) and next prime (85908029).

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

It is a self number, because there is not a number n which added to its sum of digits gives 85908024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85908029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2857 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (4890600).

Almost surely, 2^85908024 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 85908024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

85908024 is an abundant number, since it is smaller than the sum of its proper divisors (148840776).

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

85908024 is a wasteful number, since it uses less digits than its factorization.

85908024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10684 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85908024 is about 9268.6581553103. The cubic root of 85908024 is about 441.2430825474.

The spelling of 85908024 in words is "eighty-five million, nine hundred eight thousand, twenty-four".