88102560 has 192 divisors, whose sum is σ = 341736192. Its totient is φ = 18579456.

The previous prime is 88102529. The next prime is 88102561. The reversal of 88102560 is 6520188.

It is a super-2 number, since 2×88102560² = 15524122157107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (88102561) 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, 42672 + ... + 44688.

It is an arithmetic number, because the mean of its divisors is an integer number (1779876).

Almost surely, 2^88102560 is an apocalyptic number.

88102560 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 88102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170868096).

88102560 is an abundant number, since it is smaller than the sum of its proper divisors (253633632).

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

88102560 is a wasteful number, since it uses less digits than its factorization.

88102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 88102560 is about 9386.2963942121. The cubic root of 88102560 is about 444.9687475422.

The spelling of 88102560 in words is "eighty-eight million, one hundred two thousand, five hundred sixty".