964773936 has 320 divisors, whose sum is σ = 3428352000. Its totient is φ = 258757632.

The previous prime is 964773923. The next prime is 964773947. The reversal of 964773936 is 639377469.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2518801 + ... + 2519183.

It is an arithmetic number, because the mean of its divisors is an integer number (10713600).

Almost surely, 2^964773936 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 964773936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176000).

964773936 is an abundant number, since it is smaller than the sum of its proper divisors (2463578064).

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

964773936 is a wasteful number, since it uses less digits than its factorization.

964773936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 964773936 is about 31060.8102920706. The cubic root of 964773936 is about 988.1173403336.

The spelling of 964773936 in words is "nine hundred sixty-four million, seven hundred seventy-three thousand, nine hundred thirty-six".