96994800 has 240 divisors, whose sum is σ = 394855680. Its totient is φ = 22152960.

The previous prime is 96994783. The next prime is 96994811. The reversal of 96994800 is 849969.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74959 + ... + 76241.

It is an arithmetic number, because the mean of its divisors is an integer number (1645232).

Almost surely, 2^96994800 is an apocalyptic number.

96994800 is a gapful number since it is divisible by the number (90) 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 96994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197427840).

96994800 is an abundant number, since it is smaller than the sum of its proper divisors (297860880).

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

96994800 is a wasteful number, since it uses less digits than its factorization.

96994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 96994800 is about 9848.5938082551. The cubic root of 96994800 is about 459.4618786119.

The spelling of 96994800 in words is "ninety-six million, nine hundred ninety-four thousand, eight hundred".