96993400 has 96 divisors (see below), whose sum is σ = 266724000. Its totient is φ = 32094720.

The previous prime is 96993359. The next prime is 96993401. The reversal of 96993400 is 439969.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96993401) 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, 39406 + ... + 41794.

It is an arithmetic number, because the mean of its divisors is an integer number (2778375).

Almost surely, 2^96993400 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 96993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133362000).

96993400 is an abundant number, since it is smaller than the sum of its proper divisors (169730600).

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

96993400 is a wasteful number, since it uses less digits than its factorization.

96993400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 96993400 is about 9848.5227318619. The cubic root of 96993400 is about 459.4596680132.

The spelling of 96993400 in words is "ninety-six million, nine hundred ninety-three thousand, four hundred".