242187660 has 216 divisors, whose sum is σ = 872058096. Its totient is φ = 53637120.

The previous prime is 242187643. The next prime is 242187667. The reversal of 242187660 is 66781242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242187667) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2496732 + ... + 2496828.

It is an arithmetic number, because the mean of its divisors is an integer number (4037306).

Almost surely, 2^242187660 is an apocalyptic number.

242187660 is a gapful number since it is divisible by the number (20) 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 242187660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436029048).

242187660 is an abundant number, since it is smaller than the sum of its proper divisors (629870436).

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

242187660 is a wasteful number, since it uses less digits than its factorization.

242187660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242187660 is about 15562.3796380888. The cubic root of 242187660 is about 623.3290062962.

It can be divided in two parts, 24218 and 7660, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 242187660 in words is "two hundred forty-two million, one hundred eighty-seven thousand, six hundred sixty".