88126200 has 144 divisors (see below), whose sum is σ = 298719720. Its totient is φ = 23281920.

The previous prime is 88126127. The next prime is 88126201. The reversal of 88126200 is 262188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88126201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311259 + ... + 311541.

Almost surely, 2^88126200 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 88126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149359860).

88126200 is an abundant number, since it is smaller than the sum of its proper divisors (210593520).

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

88126200 is a wasteful number, since it uses less digits than its factorization.

88126200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88126200 is about 9387.5555923787. Note that the first 4 decimals coincide. The cubic root of 88126200 is about 445.0085425284.

Adding to 88126200 its reverse (262188), we get a palindrome (88388388).

The spelling of 88126200 in words is "eighty-eight million, one hundred twenty-six thousand, two hundred".