240681672 has 256 divisors, whose sum is σ = 864000000. Its totient is φ = 60238080.

The previous prime is 240681671. The next prime is 240681677. The reversal of 240681672 is 276186042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (240681671) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 482079 + ... + 482577.

It is an arithmetic number, because the mean of its divisors is an integer number (3375000).

Almost surely, 2^240681672 is an apocalyptic number.

240681672 is a gapful number since it is divisible by the number (22) 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 240681672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000000).

240681672 is an abundant number, since it is smaller than the sum of its proper divisors (623318328).

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

240681672 is a wasteful number, since it uses less digits than its factorization.

240681672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 240681672 is about 15513.9186539056. The cubic root of 240681672 is about 622.0343098563.

The spelling of 240681672 in words is "two hundred forty million, six hundred eighty-one thousand, six hundred seventy-two".