88096800 has 288 divisors, whose sum is σ = 323979264. Its totient is φ = 20608000.

The previous prime is 88096793. The next prime is 88096861. The reversal of 88096800 is 869088.

It is a super-2 number, since 2×88096800² = 15522092340480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240765 + ... + 1240835.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^88096800 is an apocalyptic number.

88096800 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 88096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

88096800 is an abundant number, since it is smaller than the sum of its proper divisors (235882464).

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

88096800 is a wasteful number, since it uses less digits than its factorization.

88096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 88096800 is about 9385.9895589117. The cubic root of 88096800 is about 444.9590502233.

It can be divided in two parts, 880 and 96800, that multiplied together give a cube (85184000 = 440³).

The spelling of 88096800 in words is "eighty-eight million, ninety-six thousand, eight hundred".