85111488 has 336 divisors, whose sum is σ = 323331840. Its totient is φ = 20736000.

The previous prime is 85111483. The next prime is 85111489. The reversal of 85111488 is 88411158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (85111483) 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, 842638 + ... + 842738.

Almost surely, 2^85111488 is an apocalyptic number.

85111488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

85111488 is an abundant number, since it is smaller than the sum of its proper divisors (238220352).

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

85111488 is a wasteful number, since it uses less digits than its factorization.

85111488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 85111488 is about 9225.5887616997. The cubic root of 85111488 is about 439.8751160731.

It can be divided in two parts, 8511 and 1488, that added together give a palindrome (9999).

The spelling of 85111488 in words is "eighty-five million, one hundred eleven thousand, four hundred eighty-eight".