242887008 has 96 divisors (see below), whose sum is σ = 784740096. Its totient is φ = 64055808.

The previous prime is 242887003. The next prime is 242887027. The reversal of 242887008 is 800788242.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242887003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5166 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (8174376).

Almost surely, 2^242887008 is an apocalyptic number.

242887008 is a gapful number since it is divisible by the number (28) 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 242887008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392370048).

242887008 is an abundant number, since it is smaller than the sum of its proper divisors (541853088).

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

242887008 is a wasteful number, since it uses less digits than its factorization.

242887008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27836 (or 27828 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 242887008 is about 15584.8326266277. The cubic root of 242887008 is about 623.9284105905.

The spelling of 242887008 in words is "two hundred forty-two million, eight hundred eighty-seven thousand, eight".