964799640 has 256 divisors, whose sum is σ = 3892147200. Its totient is φ = 207525888.

The previous prime is 964799593. The next prime is 964799669. The reversal of 964799640 is 46997469.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 124767 + ... + 132273.

It is an arithmetic number, because the mean of its divisors is an integer number (15203700).

Almost surely, 2^964799640 is an apocalyptic number.

964799640 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 964799640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946073600).

964799640 is an abundant number, since it is smaller than the sum of its proper divisors (2927347560).

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

964799640 is a wasteful number, since it uses less digits than its factorization.

964799640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 964799640 is about 31061.2240583014. The cubic root of 964799640 is about 988.1261155646.

The spelling of 964799640 in words is "nine hundred sixty-four million, seven hundred ninety-nine thousand, six hundred forty".