5643792 has 120 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1463040.

The previous prime is 5643787. The next prime is 5643797. The reversal of 5643792 is 2973465.

5643792 is a `hidden beast` number, since 5 + 643 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5643787) and next prime (5643797).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 6⁴ + 4⁵ + 3⁷ + 7⁷ + 9⁷ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (5643797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10834 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (164424).

Almost surely, 2^5643792 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 5643792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

5643792 is an abundant number, since it is smaller than the sum of its proper divisors (14087088).

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

5643792 is a wasteful number, since it uses less digits than its factorization.

5643792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5643792 is about 2375.6666432814. Note that the first 4 decimals coincide. The cubic root of 5643792 is about 178.0424929061.

It can be divided in two parts, 564 and 3792, that added together give a square (4356 = 66²).

The spelling of 5643792 in words is "five million, six hundred forty-three thousand, seven hundred ninety-two".