88251200 has 84 divisors (see below), whose sum is σ = 228660960. Its totient is φ = 33431040.

The previous prime is 88251193. The next prime is 88251211. The reversal of 88251200 is 215288.

It is a self number, because there is not a number n which added to its sum of digits gives 88251200.

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, 28949 + ... + 31851.

Almost surely, 2^88251200 is an apocalyptic number.

88251200 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 88251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114330480).

88251200 is an abundant number, since it is smaller than the sum of its proper divisors (140409760).

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

88251200 is a wasteful number, since it uses less digits than its factorization.

88251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 88251200 is about 9394.2109833663. The cubic root of 88251200 is about 445.2188461920.

Adding to 88251200 its reverse (215288), we get a palindrome (88466488).

It can be divided in two parts, 882 and 51200, that multiplied together give a square (45158400 = 6720²).

The spelling of 88251200 in words is "eighty-eight million, two hundred fifty-one thousand, two hundred".