89340800 has 48 divisors (see below), whose sum is σ = 220707600. Its totient is φ = 35735040.

The previous prime is 89340773. The next prime is 89340803. The reversal of 89340800 is 804398.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89340803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10760 + ... + 17159.

It is an arithmetic number, because the mean of its divisors is an integer number (4598075).

Almost surely, 2^89340800 is an apocalyptic number.

89340800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89340800 is an abundant number, since it is smaller than the sum of its proper divisors (131366800).

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

89340800 is a wasteful number, since it uses less digits than its factorization.

89340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27943 (or 27926 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 89340800 is about 9452.0262377968. The cubic root of 89340800 is about 447.0436657725.

The spelling of 89340800 in words is "eighty-nine million, three hundred forty thousand, eight hundred".