964152720 has 400 divisors, whose sum is σ = 3629767680. Its totient is φ = 236390400.

The previous prime is 964152659. The next prime is 964152727. The reversal of 964152720 is 27251469.

964152720 is a `hidden beast` number, since 9 + 641 + 5 + 2 + 7 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (964152727) 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 79 ways as a sum of consecutive naturals, for example, 5047825 + ... + 5048015.

Almost surely, 2^964152720 is an apocalyptic number.

964152720 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 964152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

964152720 is an abundant number, since it is smaller than the sum of its proper divisors (2665614960).

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

964152720 is a wasteful number, since it uses less digits than its factorization.

964152720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 964152720 is about 31050.8086851212. The cubic root of 964152720 is about 987.9052125405.

The spelling of 964152720 in words is "nine hundred sixty-four million, one hundred fifty-two thousand, seven hundred twenty".