1242643680 has 288 divisors, whose sum is σ = 4543838208. Its totient is φ = 320371200.

The previous prime is 1242643667. The next prime is 1242643687. The reversal of 1242643680 is 863462421.

1242643680 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 643 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242643687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204765 + ... + 1205795.

It is an arithmetic number, because the mean of its divisors is an integer number (15777216).

Almost surely, 2^1242643680 is an apocalyptic number.

1242643680 is a gapful number since it is divisible by the number (10) 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 1242643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271919104).

1242643680 is an abundant number, since it is smaller than the sum of its proper divisors (3301194528).

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

1242643680 is a wasteful number, since it uses less digits than its factorization.

1242643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1242643680 is about 35251.1514705548. The cubic root of 1242643680 is about 1075.1000245850.

The spelling of 1242643680 in words is "one billion, two hundred forty-two million, six hundred forty-three thousand, six hundred eighty".