88198560 has 144 divisors (see below), whose sum is σ = 314181504. Its totient is φ = 22488576.

The previous prime is 88198493. The next prime is 88198571. The reversal of 88198560 is 6589188.

88198560 is a `hidden beast` number, since 8 + 81 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 31789 + ... + 34451.

It is an arithmetic number, because the mean of its divisors is an integer number (2181816).

Almost surely, 2^88198560 is an apocalyptic number.

88198560 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 88198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157090752).

88198560 is an abundant number, since it is smaller than the sum of its proper divisors (225982944).

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

88198560 is a wasteful number, since it uses less digits than its factorization.

88198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 88198560 is about 9391.4088399984. The cubic root of 88198560 is about 445.1303073341.

The spelling of 88198560 in words is "eighty-eight million, one hundred ninety-eight thousand, five hundred sixty".