88352160 has 96 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 21746688.

The previous prime is 88352149. The next prime is 88352191. The reversal of 88352160 is 6125388.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×88352160² = 15612208353331200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840 + ... + 13319.

It is an arithmetic number, because the mean of its divisors is an integer number (3122280).

Almost surely, 2^88352160 is an apocalyptic number.

88352160 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 88352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

88352160 is an abundant number, since it is smaller than the sum of its proper divisors (211386720).

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

88352160 is a wasteful number, since it uses less digits than its factorization.

88352160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14190 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 88352160 is about 9399.5829694726. The cubic root of 88352160 is about 445.3885593321.

The spelling of 88352160 in words is "eighty-eight million, three hundred fifty-two thousand, one hundred sixty".