1606961087424 has 1344 divisors, whose sum is σ = 6192970291200. Its totient is φ = 399624192000.

The previous prime is 1606961087393. The next prime is 1606961087429. The reversal of 1606961087424 is 4247801696061.

1606961087424 is a `hidden beast` number, since 1 + 606 + 9 + 6 + 1 + 0 + 8 + 7 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606961087429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3660503397 + ... + 3660503835.

It is an arithmetic number, because the mean of its divisors is an integer number (4607864800).

Almost surely, 2^{1606961087424} is an apocalyptic number.

1606961087424 is a gapful number since it is divisible by the number (14) 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 1606961087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096485145600).

1606961087424 is an abundant number, since it is smaller than the sum of its proper divisors (4586009203776).

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

1606961087424 is a wasteful number, since it uses less digits than its factorization.

1606961087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1606961087424 in words is "one trillion, six hundred six billion, nine hundred sixty-one million, eighty-seven thousand, four hundred twenty-four".