88245300 has 288 divisors, whose sum is σ = 320229504. Its totient is φ = 18585600.

The previous prime is 88245293. The next prime is 88245301. The reversal of 88245300 is 354288.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88245301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5190892 + ... + 5190908.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 2^88245300 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 88245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160114752).

88245300 is an abundant number, since it is smaller than the sum of its proper divisors (231984204).

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

88245300 is a wasteful number, since it uses less digits than its factorization.

88245300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 88245300 is about 9393.8969549383. The cubic root of 88245300 is about 445.2089243260.

Adding to 88245300 its reverse (354288), we get a palindrome (88599588).

The spelling of 88245300 in words is "eighty-eight million, two hundred forty-five thousand, three hundred".