85607988 has 48 divisors (see below), whose sum is σ = 218340864. Its totient is φ = 25989120.

The previous prime is 85607987. The next prime is 85607989. The reversal of 85607988 is 88970658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85607987) and next prime (85607989).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 85607988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85607981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445 + ... + 13092.

It is an arithmetic number, because the mean of its divisors is an integer number (4548768).

Almost surely, 2^85607988 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 85607988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109170432).

85607988 is an abundant number, since it is smaller than the sum of its proper divisors (132732876).

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

85607988 is a wasteful number, since it uses less digits than its factorization.

85607988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592 (or 13590 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 85607988 is about 9252.4584841003. The cubic root of 85607988 is about 440.7287990658.

The spelling of 85607988 in words is "eighty-five million, six hundred seven thousand, nine hundred eighty-eight".