1915264 has 32 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 883200.

The previous prime is 1915259. The next prime is 1915267. The reversal of 1915264 is 4625191.

1915264 = T₁₀₅ + T₁₀₆ + ... + T₂₃₂.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1915267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1089 + ... + 2239.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

2^1915264 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 1915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1915264 is an abundant number, since it is smaller than the sum of its proper divisors (2197376).

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

1915264 is a wasteful number, since it uses less digits than its factorization.

1915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1166 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 1915264 is about 1383.9306340998. The cubic root of 1915264 is about 124.1870226725.

The spelling of 1915264 in words is "one million, nine hundred fifteen thousand, two hundred sixty-four".