88484800 has 84 divisors (see below), whose sum is σ = 225353880. Its totient is φ = 34155520.

The previous prime is 88484791. The next prime is 88484807. The reversal of 88484800 is 848488.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88484807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45447 + ... + 47353.

Almost surely, 2^88484800 is an apocalyptic number.

88484800 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 88484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112676940).

88484800 is an abundant number, since it is smaller than the sum of its proper divisors (136869080).

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

88484800 is a wasteful number, since it uses less digits than its factorization.

88484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 88484800 is about 9406.6359555369. The cubic root of 88484800 is about 445.6113299660.

The spelling of 88484800 in words is "eighty-eight million, four hundred eighty-four thousand, eight hundred".