21946496 has 96 divisors (see below), whose sum is σ = 52229100. Its totient is φ = 9123840.

The previous prime is 21946493. The next prime is 21946499. The reversal of 21946496 is 69464912.

It is an interprime number because it is at equal distance from previous prime (21946493) and next prime (21946499).

It can be written as a sum of positive squares in 2 ways, for example, as 21752896 + 193600 = 4664^2 + 440^2 .

It is not an unprimeable number, because it can be changed into a prime (21946493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201290 + ... + 201398.

Almost surely, 2^21946496 is an apocalyptic number.

21946496 is a gapful number since it is divisible by the number (26) 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 21946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114550).

21946496 is an abundant number, since it is smaller than the sum of its proper divisors (30282604).

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

21946496 is a wasteful number, since it uses less digits than its factorization.

21946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 21946496 is about 4684.7087422806. The cubic root of 21946496 is about 279.9765966834.

The spelling of 21946496 in words is "twenty-one million, nine hundred forty-six thousand, four hundred ninety-six".