968720400 has 90 divisors (see below), whose sum is σ = 3361741370. Its totient is φ = 258324480.

The previous prime is 968720399. The next prime is 968720413. The reversal of 968720400 is 4027869.

It can be written as a sum of positive squares in 3 ways, for example, as 175509504 + 793210896 = 13248^2 + 28164^2 .

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

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, 130945 + ... + 138144.

Almost surely, 2^968720400 is an apocalyptic number.

968720400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968720400 is an abundant number, since it is smaller than the sum of its proper divisors (2393020970).

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

968720400 is a wasteful number, since it uses less digits than its factorization.

968720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269113 (or 269099 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 968720400 is about 31124.2734854968. The cubic root of 968720400 is about 989.4628245891.

The spelling of 968720400 in words is "nine hundred sixty-eight million, seven hundred twenty thousand, four hundred".