88080512 has 64 divisors (see below), whose sum is σ = 193522560. Its totient is φ = 39674880.

The previous prime is 88080493. The next prime is 88080527. The reversal of 88080512 is 21508088.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×88080512³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70937 + ... + 72167.

It is an arithmetic number, because the mean of its divisors is an integer number (3023790).

Almost surely, 2^88080512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96761280).

88080512 is an abundant number, since it is smaller than the sum of its proper divisors (105442048).

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

88080512 is a wasteful number, since it uses less digits than its factorization.

88080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 88080512 is about 9385.1218425762. The cubic root of 88080512 is about 444.9316260728.

The spelling of 88080512 in words is "eighty-eight million, eighty thousand, five hundred twelve".