964126800 has 720 divisors, whose sum is σ = 4309585280. Its totient is φ = 201553920.

The previous prime is 964126789. The next prime is 964126819. The reversal of 964126800 is 8621469.

964126800 is a `hidden beast` number, since 9 + 641 + 2 + 6 + 8 + 0 + 0 = 666.

964126800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8845146 + ... + 8845254.

Almost surely, 2^964126800 is an apocalyptic number.

964126800 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 964126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154792640).

964126800 is an abundant number, since it is smaller than the sum of its proper divisors (3345458480).

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

964126800 is a wasteful number, since it uses less digits than its factorization.

964126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 964126800 is about 31050.3913018822. The cubic root of 964126800 is about 987.8963596094.

The spelling of 964126800 in words is "nine hundred sixty-four million, one hundred twenty-six thousand, eight hundred".