964011840 has 336 divisors, whose sum is σ = 3460357824. Its totient is φ = 227082240.

The previous prime is 964011827. The next prime is 964011847. The reversal of 964011840 is 48110469.

964011840 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964011847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4994784 + ... + 4994976.

It is an arithmetic number, because the mean of its divisors is an integer number (10298684).

Almost surely, 2^964011840 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 964011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730178912).

964011840 is an abundant number, since it is smaller than the sum of its proper divisors (2496345984).

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

964011840 is a wasteful number, since it uses less digits than its factorization.

964011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 964011840 is about 31048.5400622960. The cubic root of 964011840 is about 987.8570933083.

The spelling of 964011840 in words is "nine hundred sixty-four million, eleven thousand, eight hundred forty".