85901088 has 96 divisors (see below), whose sum is σ = 277554816. Its totient is φ = 22652928.

The previous prime is 85901083. The next prime is 85901107. The reversal of 85901088 is 88010958.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (85901083) 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, 3820 + ... + 13652.

It is an arithmetic number, because the mean of its divisors is an integer number (2891196).

Almost surely, 2^85901088 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 85901088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138777408).

85901088 is an abundant number, since it is smaller than the sum of its proper divisors (191653728).

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

85901088 is a wasteful number, since it uses less digits than its factorization.

85901088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 85901088 is about 9268.2839835646. The cubic root of 85901088 is about 441.2312072718.

The spelling of 85901088 in words is "eighty-five million, nine hundred one thousand, eighty-eight".