21793464 has 96 divisors (see below), whose sum is σ = 73607040. Its totient is φ = 5659200.

The previous prime is 21793463. The next prime is 21793469. The reversal of 21793464 is 46439712.

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

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 (21793463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3579 + ... + 7509.

It is an arithmetic number, because the mean of its divisors is an integer number (766740).

Almost surely, 2^21793464 is an apocalyptic number.

21793464 is a gapful number since it is divisible by the number (24) 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 21793464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36803520).

21793464 is an abundant number, since it is smaller than the sum of its proper divisors (51813576).

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

21793464 is a wasteful number, since it uses less digits than its factorization.

21793464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3954 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 21793464 is about 4668.3470308022. The cubic root of 21793464 is about 279.3243231955.

The spelling of 21793464 in words is "twenty-one million, seven hundred ninety-three thousand, four hundred sixty-four".