964880100 has 216 divisors, whose sum is σ = 3194274720. Its totient is φ = 252564480.

The previous prime is 964880069. The next prime is 964880123. The reversal of 964880100 is 1088469.

It is a happy number.

964880100 is a `hidden beast` number, since 9 + 648 + 8 + 0 + 1 + 0 + 0 = 666.

964880100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 1433364 + ... + 1434036.

Almost surely, 2^964880100 is an apocalyptic number.

964880100 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 964880100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597137360).

964880100 is an abundant number, since it is smaller than the sum of its proper divisors (2229394620).

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

964880100 is a wasteful number, since it uses less digits than its factorization.

964880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 964880100 is about 31062.5192152858. The cubic root of 964880100 is about 988.1535832425.

The spelling of 964880100 in words is "nine hundred sixty-four million, eight hundred eighty thousand, one hundred".