1923264 has 140 divisors (see below), whose sum is σ = 6638544. Its totient is φ = 539136.

The previous prime is 1923263. The next prime is 1923277. The reversal of 1923264 is 4623291.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1923263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36262 + ... + 36314.

2^1923264 is an apocalyptic number.

1923264 is a gapful number since it is divisible by the number (14) 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 1923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319272).

1923264 is an abundant number, since it is smaller than the sum of its proper divisors (4715280).

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

1923264 is an equidigital number, since it uses as much as digits as its factorization.

1923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1923264 is about 1386.8179404666. The cubic root of 1923264 is about 124.3596909686.

Adding to 1923264 its sum of digits (27), we get a palindrome (1923291).

It can be divided in two parts, 1923 and 264, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1923264 in words is "one million, nine hundred twenty-three thousand, two hundred sixty-four".