88870320 has 360 divisors, whose sum is σ = 380399760. Its totient is φ = 18385920.

The previous prime is 88870291. The next prime is 88870349. The reversal of 88870320 is 2307888.

It is an interprime number because it is at equal distance from previous prime (88870291) and next prime (88870349).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 387966 + ... + 388194.

It is an arithmetic number, because the mean of its divisors is an integer number (1056666).

Almost surely, 2^88870320 is an apocalyptic number.

88870320 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 88870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190199880).

88870320 is an abundant number, since it is smaller than the sum of its proper divisors (291529440).

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

88870320 is a wasteful number, since it uses less digits than its factorization.

88870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88870320 is about 9427.1056003420. The cubic root of 88870320 is about 446.2575546587.

The spelling of 88870320 in words is "eighty-eight million, eight hundred seventy thousand, three hundred twenty".