968198400 has 432 divisors, whose sum is σ = 3832254720. Its totient is φ = 237772800.

The previous prime is 968198383. The next prime is 968198401. The reversal of 968198400 is 4891869.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (968198401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2246185 + ... + 2246615.

It is an arithmetic number, because the mean of its divisors is an integer number (8870960).

Almost surely, 2^968198400 is an apocalyptic number.

968198400 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 968198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916127360).

968198400 is an abundant number, since it is smaller than the sum of its proper divisors (2864056320).

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

968198400 is a wasteful number, since it uses less digits than its factorization.

968198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 968198400 is about 31115.8866176106. The cubic root of 968198400 is about 989.2850669358.

The spelling of 968198400 in words is "nine hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".