24140064 has 144 divisors (see below), whose sum is σ = 73749312. Its totient is φ = 6859776.

The previous prime is 24140059. The next prime is 24140101. The reversal of 24140064 is 46004142.

It is a self number, because there is not a number n which added to its sum of digits gives 24140064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832402 + ... + 832430.

It is an arithmetic number, because the mean of its divisors is an integer number (512148).

Almost surely, 2^24140064 is an apocalyptic number.

24140064 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 24140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36874656).

24140064 is an abundant number, since it is smaller than the sum of its proper divisors (49609248).

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

24140064 is a wasteful number, since it uses less digits than its factorization.

24140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 24140064 is about 4913.2539116150. The cubic root of 24140064 is about 289.0099572325.

The spelling of 24140064 in words is "twenty-four million, one hundred forty thousand, sixty-four".