240198912 has 288 divisors, whose sum is σ = 784896000. Its totient is φ = 72161280.

The previous prime is 240198911. The next prime is 240198941. The reversal of 240198912 is 219891042.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×240198912³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240198911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071139 + ... + 4071197.

Almost surely, 2^240198912 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 240198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392448000).

240198912 is an abundant number, since it is smaller than the sum of its proper divisors (544697088).

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

240198912 is a wasteful number, since it uses less digits than its factorization.

240198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 240198912 is about 15498.3519123809. The cubic root of 240198912 is about 621.6181387352.

The spelling of 240198912 in words is "two hundred forty million, one hundred ninety-eight thousand, nine hundred twelve".