88086960 has 160 divisors (see below), whose sum is σ = 326854080. Its totient is φ = 21676032.

The previous prime is 88086953. The next prime is 88086967. The reversal of 88086960 is 6968088.

It is an interprime number because it is at equal distance from previous prime (88086953) and next prime (88086967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88086967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26512 + ... + 29648.

It is an arithmetic number, because the mean of its divisors is an integer number (2042838).

Almost surely, 2^88086960 is an apocalyptic number.

88086960 is a gapful number since it is divisible by the number (80) 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 88086960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163427040).

88086960 is an abundant number, since it is smaller than the sum of its proper divisors (238767120).

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

88086960 is a wasteful number, since it uses less digits than its factorization.

88086960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 88086960 is about 9385.4653587342. The cubic root of 88086960 is about 444.9424829924.

The spelling of 88086960 in words is "eighty-eight million, eighty-six thousand, nine hundred sixty".