964466100 has 324 divisors, whose sum is σ = 3475347876. Its totient is φ = 222842880.

The previous prime is 964466093. The next prime is 964466101. The reversal of 964466100 is 1664469.

964466100 is a `hidden beast` number, since 9 + 644 + 6 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 802362276 + 162103824 = 28326^2 + 12732^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964466101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2585514 + ... + 2585886.

Almost surely, 2^964466100 is an apocalyptic number.

964466100 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 964466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737673938).

964466100 is an abundant number, since it is smaller than the sum of its proper divisors (2510881776).

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

964466100 is a wasteful number, since it uses less digits than its factorization.

964466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 964466100 is about 31055.8545205248. The cubic root of 964466100 is about 988.0122343822.

The spelling of 964466100 in words is "nine hundred sixty-four million, four hundred sixty-six thousand, one hundred".