88119200 has 144 divisors (see below), whose sum is σ = 238969080. Its totient is φ = 31518720.

The previous prime is 88119179. The next prime is 88119217. The reversal of 88119200 is 291188.

It can be written as a sum of positive squares in 12 ways, for example, as 23541904 + 64577296 = 4852^2 + 8036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384686 + ... + 384914.

Almost surely, 2^88119200 is an apocalyptic number.

88119200 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 88119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119484540).

88119200 is an abundant number, since it is smaller than the sum of its proper divisors (150849880).

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

88119200 is a wasteful number, since it uses less digits than its factorization.

88119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 88119200 is about 9387.1827509642. The cubic root of 88119200 is about 444.9967596448.

The spelling of 88119200 in words is "eighty-eight million, one hundred nineteen thousand, two hundred".