242585616 has 320 divisors, whose sum is σ = 844390400. Its totient is φ = 58226688.

The previous prime is 242585599. The next prime is 242585647. The reversal of 242585616 is 616585242.

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

Its product of digits (115200) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3070665 + ... + 3070743.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^242585616 is an apocalyptic number.

242585616 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 242585616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422195200).

242585616 is an abundant number, since it is smaller than the sum of its proper divisors (601804784).

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

242585616 is a wasteful number, since it uses less digits than its factorization.

242585616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 242585616 is about 15575.1602238950. The cubic root of 242585616 is about 623.6702317394.

The spelling of 242585616 in words is "two hundred forty-two million, five hundred eighty-five thousand, six hundred sixteen".