23542080 has 112 divisors (see below), whose sum is σ = 75712320. Its totient is φ = 6197248.

The previous prime is 23542063. The next prime is 23542097. The reversal of 23542080 is 8024532.

It is an interprime number because it is at equal distance from previous prime (23542063) and next prime (23542097).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23542080.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131431 + ... + 131609.

Almost surely, 2^23542080 is an apocalyptic number.

23542080 is a gapful number since it is divisible by the number (20) 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 23542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37856160).

23542080 is an abundant number, since it is smaller than the sum of its proper divisors (52170240).

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

23542080 is a wasteful number, since it uses less digits than its factorization.

23542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 23542080 is about 4852.0181368169. The cubic root of 23542080 is about 286.6035796514.

The spelling of 23542080 in words is "twenty-three million, five hundred forty-two thousand, eighty".