1964160 has 192 divisors, whose sum is σ = 7637760. Its totient is φ = 460800.

The previous prime is 1964159. The next prime is 1964173. The reversal of 1964160 is 614691.

1964160 is a `hidden beast` number, since 19 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63345 + ... + 63375.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

2^1964160 is an apocalyptic number.

1964160 is a gapful number since it is divisible by the number (10) 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 1964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

1964160 is an abundant number, since it is smaller than the sum of its proper divisors (5673600).

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

1964160 is a wasteful number, since it uses less digits than its factorization.

1964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1964160 is about 1401.4849267830. The cubic root of 1964160 is about 125.2349713642.

It can be divided in two parts, 19641 and 60, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1964160 in words is "one million, nine hundred sixty-four thousand, one hundred sixty".