24740640 has 240 divisors, whose sum is σ = 92207808. Its totient is φ = 6234624.

The previous prime is 24740623. The next prime is 24740669. The reversal of 24740640 is 4604742.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×24740640² = 1224198535219200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298039 + ... + 298121.

Almost surely, 2^24740640 is an apocalyptic number.

24740640 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 24740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46103904).

24740640 is an abundant number, since it is smaller than the sum of its proper divisors (67467168).

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

24740640 is a wasteful number, since it uses less digits than its factorization.

24740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 24740640 is about 4973.9963811808. The cubic root of 24740640 is about 291.3870924653.

The spelling of 24740640 in words is "twenty-four million, seven hundred forty thousand, six hundred forty".