964646640 has 240 divisors, whose sum is σ = 3497240448. Its totient is φ = 237379584.

The previous prime is 964646567. The next prime is 964646653. The reversal of 964646640 is 46646469.

964646640 is a `hidden beast` number, since 96 + 464 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647977 + ... + 649463.

Almost surely, 2^964646640 is an apocalyptic number.

964646640 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 964646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748620224).

964646640 is an abundant number, since it is smaller than the sum of its proper divisors (2532593808).

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

964646640 is a wasteful number, since it uses less digits than its factorization.

964646640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 964646640 is about 31058.7610828249. The cubic root of 964646640 is about 988.0738797491.

The spelling of 964646640 in words is "nine hundred sixty-four million, six hundred forty-six thousand, six hundred forty".