88466560 has 256 divisors, whose sum is σ = 274176000. Its totient is φ = 27095040.

The previous prime is 88466557. The next prime is 88466569. The reversal of 88466560 is 6566488.

It is not an unprimeable number, because it can be changed into a prime (88466569) 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, 2853745 + ... + 2853775.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^88466560 is an apocalyptic number.

88466560 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 88466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

88466560 is an abundant number, since it is smaller than the sum of its proper divisors (185709440).

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

88466560 is a wasteful number, since it uses less digits than its factorization.

88466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 88466560 is about 9405.6663772430. Note that the first 3 decimals coincide. The cubic root of 88466560 is about 445.5807088529.

The spelling of 88466560 in words is "eighty-eight million, four hundred sixty-six thousand, five hundred sixty".