88294800 has 120 divisors (see below), whose sum is σ = 308596320. Its totient is φ = 21401600.

The previous prime is 88294799. The next prime is 88294807. The reversal of 88294800 is 849288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (88294807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9856 + ... + 16544.

It is an arithmetic number, because the mean of its divisors is an integer number (2571636).

Almost surely, 2^88294800 is an apocalyptic number.

88294800 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 88294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154298160).

88294800 is an abundant number, since it is smaller than the sum of its proper divisors (220301520).

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

88294800 is a wasteful number, since it uses less digits than its factorization.

88294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88294800 is about 9396.5312748908. The cubic root of 88294800 is about 445.2921533948.

The spelling of 88294800 in words is "eighty-eight million, two hundred ninety-four thousand, eight hundred".