21892464 has 160 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 6220800.

The previous prime is 21892441. The next prime is 21892469. The reversal of 21892464 is 46429812.

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 (21892469) 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 31 ways as a sum of consecutive naturals, for example, 80649 + ... + 80919.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 2^21892464 is an apocalyptic number.

21892464 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 21892464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

21892464 is an abundant number, since it is smaller than the sum of its proper divisors (50960016).

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

21892464 is a wasteful number, since it uses less digits than its factorization.

21892464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 21892464 is about 4678.9383411197. The cubic root of 21892464 is about 279.7466415657.

The spelling of 21892464 in words is "twenty-one million, eight hundred ninety-two thousand, four hundred sixty-four".