964217520 has 400 divisors, whose sum is σ = 3964656960. Its totient is φ = 212502528.

The previous prime is 964217519. The next prime is 964217593. The reversal of 964217520 is 25712469.

964217520 is a `hidden beast` number, since 9 + 642 + 1 + 7 + 5 + 2 + 0 = 666.

964217520 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 79 ways as a sum of consecutive naturals, for example, 1315074 + ... + 1315806.

Almost surely, 2^964217520 is an apocalyptic number.

964217520 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 964217520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982328480).

964217520 is an abundant number, since it is smaller than the sum of its proper divisors (3000439440).

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

964217520 is a wasteful number, since it uses less digits than its factorization.

964217520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

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

The square root of 964217520 is about 31051.8521186740. The cubic root of 964217520 is about 987.9273441739.

Adding to 964217520 its reverse (25712469), we get a palindrome (989929989).

The spelling of 964217520 in words is "nine hundred sixty-four million, two hundred seventeen thousand, five hundred twenty".