88345600 has 264 divisors, whose sum is σ = 274134240. Its totient is φ = 27525120.

The previous prime is 88345591. The next prime is 88345613. The reversal of 88345600 is 654388.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 3046386 + ... + 3046414.

Almost surely, 2^88345600 is an apocalyptic number.

88345600 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 88345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137067120).

88345600 is an abundant number, since it is smaller than the sum of its proper divisors (185788640).

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

88345600 is a wasteful number, since it uses less digits than its factorization.

88345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 88345600 is about 9399.2340113437. The cubic root of 88345600 is about 445.3775359409.

Adding to 88345600 its reverse (654388), we get a palindrome (88999988).

The spelling of 88345600 in words is "eighty-eight million, three hundred forty-five thousand, six hundred".