964964700 has 216 divisors, whose sum is σ = 3497588640. Its totient is φ = 217958400.

The previous prime is 964964687. The next prime is 964964711. The reversal of 964964700 is 7469469.

964964700 is a `hidden beast` number, since 96 + 4 + 96 + 470 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 559840 + ... + 561560.

It is an arithmetic number, because the mean of its divisors is an integer number (16192540).

Almost surely, 2^964964700 is an apocalyptic number.

964964700 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 964964700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748794320).

964964700 is an abundant number, since it is smaller than the sum of its proper divisors (2532623940).

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

964964700 is a wasteful number, since it uses less digits than its factorization.

964964700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 964964700 is about 31063.8809552187. The cubic root of 964964700 is about 988.1824625993.

The spelling of 964964700 in words is "nine hundred sixty-four million, nine hundred sixty-four thousand, seven hundred".