88623200 has 72 divisors (see below), whose sum is σ = 221048352. Its totient is φ = 34680320.

The previous prime is 88623191. The next prime is 88623253. The reversal of 88623200 is 232688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36422 + ... + 38778.

It is an arithmetic number, because the mean of its divisors is an integer number (3070116).

Almost surely, 2^88623200 is an apocalyptic number.

88623200 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 88623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110524176).

88623200 is an abundant number, since it is smaller than the sum of its proper divisors (132425152).

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

88623200 is a wasteful number, since it uses less digits than its factorization.

88623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 88623200 is about 9413.9895899666. The cubic root of 88623200 is about 445.8435373874.

Adding to 88623200 its reverse (232688), we get a palindrome (88855888).

The spelling of 88623200 in words is "eighty-eight million, six hundred twenty-three thousand, two hundred".