964691520 has 224 divisors, whose sum is σ = 3493300608. Its totient is φ = 223444992.

The previous prime is 964691513. The next prime is 964691551. The reversal of 964691520 is 25196469.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209887 + ... + 214433.

It is an arithmetic number, because the mean of its divisors is an integer number (15595092).

Almost surely, 2^964691520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746650304).

964691520 is an abundant number, since it is smaller than the sum of its proper divisors (2528609088).

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

964691520 is a wasteful number, since it uses less digits than its factorization.

964691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 964691520 is about 31059.4835758742. The cubic root of 964691520 is about 988.0892028274.

The spelling of 964691520 in words is "nine hundred sixty-four million, six hundred ninety-one thousand, five hundred twenty".