88153280 has 56 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 34396160.

The previous prime is 88153259. The next prime is 88153283. The reversal of 88153280 is 8235188.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88153280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88153283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9761 + ... + 16479.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^88153280 is an apocalyptic number.

88153280 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 88153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

88153280 is an abundant number, since it is smaller than the sum of its proper divisors (126913600).

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

88153280 is a wasteful number, since it uses less digits than its factorization.

88153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 88153280 is about 9388.9978165936. The cubic root of 88153280 is about 445.0541195804.

The spelling of 88153280 in words is "eighty-eight million, one hundred fifty-three thousand, two hundred eighty".