964111680 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 208521216.

The previous prime is 964111651. The next prime is 964111697. The reversal of 964111680 is 86111469.

It is a happy number.

964111680 is a `hidden beast` number, since 9 + 641 + 1 + 1 + 6 + 8 + 0 = 666.

964111680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×964111680² = 1859022663024844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1148701 + ... + 1149539.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^964111680 is an apocalyptic number.

964111680 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 964111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

964111680 is an abundant number, since it is smaller than the sum of its proper divisors (3132400320).

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

964111680 is a wasteful number, since it uses less digits than its factorization.

964111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 964111680 is about 31050.1478257351. The cubic root of 964111680 is about 987.8911953264.

It can be divided in two parts, 9641 and 11680, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 964111680 in words is "nine hundred sixty-four million, one hundred eleven thousand, six hundred eighty".