85951488 has 132 divisors (see below), whose sum is σ = 266961552. Its totient is φ = 24514560.

The previous prime is 85951487. The next prime is 85951511. The reversal of 85951488 is 88415958.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85951487) 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, 150243 + ... + 150813.

It is an arithmetic number, because the mean of its divisors is an integer number (2022436).

Almost surely, 2^85951488 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 85951488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133480776).

85951488 is an abundant number, since it is smaller than the sum of its proper divisors (181010064).

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

85951488 is a wasteful number, since it uses less digits than its factorization.

85951488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its digits is 460800, while the sum is 48.

The square root of 85951488 is about 9271.0025347855. The cubic root of 85951488 is about 441.3174836532.

The spelling of 85951488 in words is "eighty-five million, nine hundred fifty-one thousand, four hundred eighty-eight".