97844400 has 90 divisors (see below), whose sum is σ = 339559740. Its totient is φ = 26090880.

The previous prime is 97844387. The next prime is 97844429. The reversal of 97844400 is 444879.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×97844400² = 19147053222720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9990 + ... + 17189.

It is an arithmetic number, because the mean of its divisors is an integer number (3772886).

Almost surely, 2^97844400 is an apocalyptic number.

97844400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97844400 is an abundant number, since it is smaller than the sum of its proper divisors (241715340).

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

97844400 is a wasteful number, since it uses less digits than its factorization.

97844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27203 (or 27189 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 97844400 is about 9891.6328277995. The cubic root of 97844400 is about 460.7994918252.

The spelling of 97844400 in words is "ninety-seven million, eight hundred forty-four thousand, four hundred".