1905264 has 60 divisors (see below), whose sum is σ = 5425992. Its totient is φ = 624000.

The previous prime is 1905257. The next prime is 1905269. The reversal of 1905264 is 4625091.

It is a super-3 number, since 3×1905264³ = 20748501633393119232, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14479 + ... + 14609.

2^1905264 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 1905264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712996).

1905264 is an abundant number, since it is smaller than the sum of its proper divisors (3520728).

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

1905264 is a wasteful number, since it uses less digits than its factorization.

1905264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1905264 is about 1380.3130079804. The cubic root of 1905264 is about 123.9705098098.

The spelling of 1905264 in words is "one million, nine hundred five thousand, two hundred sixty-four".