240157216 has 96 divisors (see below), whose sum is σ = 530385408. Its totient is φ = 106337280.

The previous prime is 240157201. The next prime is 240157231. The reversal of 240157216 is 612751042.

It is an interprime number because it is at equal distance from previous prime (240157201) and next prime (240157231).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388106 + ... + 1388278.

It is an arithmetic number, because the mean of its divisors is an integer number (5524848).

Almost surely, 2^240157216 is an apocalyptic number.

240157216 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 240157216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265192704).

240157216 is an abundant number, since it is smaller than the sum of its proper divisors (290228192).

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

240157216 is a wasteful number, since it uses less digits than its factorization.

240157216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 240157216 is about 15497.0066787106. The cubic root of 240157216 is about 621.5821678675.

The spelling of 240157216 in words is "two hundred forty million, one hundred fifty-seven thousand, two hundred sixteen".