1863264 has 48 divisors (see below), whose sum is σ = 5270832. Its totient is φ = 572928.

The previous prime is 1863263. The next prime is 1863269. The reversal of 1863264 is 4623681.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502 + ... + 1994.

It is an arithmetic number, because the mean of its divisors is an integer number (109809).

2^1863264 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 1863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635416).

1863264 is an abundant number, since it is smaller than the sum of its proper divisors (3407568).

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

1863264 is a wasteful number, since it uses less digits than its factorization.

1863264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 1863264 is about 1365.0142856395. The cubic root of 1863264 is about 123.0527898195.

The spelling of 1863264 in words is "one million, eight hundred sixty-three thousand, two hundred sixty-four".