240223776 has 96 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 70692864.

The previous prime is 240223759. The next prime is 240223777. The reversal of 240223776 is 677322042.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (240223777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24520 + ... + 32888.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2^240223776 is an apocalyptic number.

240223776 is a gapful number since it is divisible by the number (26) 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 240223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

240223776 is an abundant number, since it is smaller than the sum of its proper divisors (468480864).

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

240223776 is a wasteful number, since it uses less digits than its factorization.

240223776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 240223776 is about 15499.1540414308. The cubic root of 240223776 is about 621.6395867648.

The spelling of 240223776 in words is "two hundred forty million, two hundred twenty-three thousand, seven hundred seventy-six".