1920864 has 96 divisors (see below), whose sum is σ = 5878656. Its totient is φ = 542720.

The previous prime is 1920859. The next prime is 1920883. The reversal of 1920864 is 4680291.

1920864 = T₃₁₉ + T₃₂₀ + ... + T₃₅₂.

It is a tau number, because it is divible by the number of its divisors (96).

1920864 is a modest number, since divided by 864 gives 192 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17899 + ... + 18005.

It is an arithmetic number, because the mean of its divisors is an integer number (61236).

2^1920864 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 1920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328).

1920864 is an abundant number, since it is smaller than the sum of its proper divisors (3957792).

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

1920864 is a wasteful number, since it uses less digits than its factorization.

1920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1920864 is about 1385.9523801343. The cubic root of 1920864 is about 124.3079408374.

The spelling of 1920864 in words is "one million, nine hundred twenty thousand, eight hundred sixty-four".