88034688 has 160 divisors (see below), whose sum is σ = 299663760. Its totient is φ = 25132032.

The previous prime is 88034669. The next prime is 88034689. The reversal of 88034688 is 88643088.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88034689) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 71970 + ... + 73182.

Almost surely, 2^88034688 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 88034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149831880).

88034688 is an abundant number, since it is smaller than the sum of its proper divisors (211629072).

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

88034688 is a wasteful number, since it uses less digits than its factorization.

88034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 88034688 is about 9382.6802140966. The cubic root of 88034688 is about 444.8544539375.

Subtracting 88034688 from its reverse (88643088), we obtain a square (608400 = 780²).

The spelling of 88034688 in words is "eighty-eight million, thirty-four thousand, six hundred eighty-eight".