88034400 has 108 divisors (see below), whose sum is σ = 310456692. Its totient is φ = 23473920.

The previous prime is 88034393. The next prime is 88034413. The reversal of 88034400 is 443088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1087 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (2874599).

Almost surely, 2^88034400 is an apocalyptic number.

88034400 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 88034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155228346).

88034400 is an abundant number, since it is smaller than the sum of its proper divisors (222422292).

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

88034400 is a wasteful number, since it uses less digits than its factorization.

88034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12237 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 88034400 is about 9382.6648666570. The cubic root of 88034400 is about 444.8539688324.

Adding to 88034400 its reverse (443088), we get a palindrome (88477488).

It can be divided in two parts, 8803 and 4400, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 88034400 in words is "eighty-eight million, thirty-four thousand, four hundred".