88275600 has 360 divisors, whose sum is σ = 364595712. Its totient is φ = 19353600.

The previous prime is 88275559. The next prime is 88275617. The reversal of 88275600 is 657288.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781144 + ... + 781256.

Almost surely, 2^88275600 is an apocalyptic number.

88275600 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 88275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182297856).

88275600 is an abundant number, since it is smaller than the sum of its proper divisors (276320112).

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

88275600 is a wasteful number, since it uses less digits than its factorization.

88275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 88275600 is about 9395.5095657447. The cubic root of 88275600 is about 445.2598742982.

The spelling of 88275600 in words is "eighty-eight million, two hundred seventy-five thousand, six hundred".