23264416 has 72 divisors (see below), whose sum is σ = 54856116. Its totient is φ = 9676800.

The previous prime is 23264393. The next prime is 23264429. The reversal of 23264416 is 61446232.

It can be written as a sum of positive squares in 2 ways, for example, as 16483600 + 6780816 = 4060^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57816 + ... + 58216.

Almost surely, 2^23264416 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 23264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27428058).

23264416 is an abundant number, since it is smaller than the sum of its proper divisors (31591700).

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

23264416 is a wasteful number, since it uses less digits than its factorization.

23264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 23264416 is about 4823.3200184106. The cubic root of 23264416 is about 285.4723510039.

The spelling of 23264416 in words is "twenty-three million, two hundred sixty-four thousand, four hundred sixteen".