23820672 has 128 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 7208960.

The previous prime is 23820659. The next prime is 23820673. The reversal of 23820672 is 27602832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23820673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267604 + ... + 267692.

Almost surely, 2^23820672 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 23820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

23820672 is an abundant number, since it is smaller than the sum of its proper divisors (45580128).

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

23820672 is a wasteful number, since it uses less digits than its factorization.

23820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23820672 is about 4880.6425806445. The cubic root of 23820672 is about 287.7296846343.

It can be divided in two parts, 238 and 20672, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 23820672 in words is "twenty-three million, eight hundred twenty thousand, six hundred seventy-two".