242720064 has 84 divisors (see below), whose sum is σ = 721526624. Its totient is φ = 80901504.

The previous prime is 242720057. The next prime is 242720083. The reversal of 242720064 is 460027242.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7749 + ... + 23355.

Almost surely, 2^242720064 is an apocalyptic number.

242720064 is a gapful number since it is divisible by the number (24) 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 242720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360763312).

242720064 is an abundant number, since it is smaller than the sum of its proper divisors (478806560).

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

242720064 is an equidigital number, since it uses as much as digits as its factorization.

242720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 15612 counting only the distinct ones).

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

The square root of 242720064 is about 15579.4757293049. The cubic root of 242720064 is about 623.7854291840.

The spelling of 242720064 in words is "two hundred forty-two million, seven hundred twenty thousand, sixty-four".