1616801607 has 32 divisors (see below), whose sum is σ = 2422590720. Its totient is φ = 1065636000.

The previous prime is 1616801581. The next prime is 1616801611. The reversal of 1616801607 is 7061086161.

It is not a de Polignac number, because 1616801607 - 2¹⁰ = 1616800583 is a prime.

It is a super-2 number, since 2×1616801607² = 5228094872795564898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616805607) 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 31 ways as a sum of consecutive naturals, for example, 1170057 + ... + 1171437.

It is an arithmetic number, because the mean of its divisors is an integer number (75705960).

Almost surely, 2^1616801607 is an apocalyptic number.

1616801607 is a deficient number, since it is larger than the sum of its proper divisors (805789113).

1616801607 is a wasteful number, since it uses less digits than its factorization.

1616801607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1616801607 is about 40209.4716080677. The cubic root of 1616801607 is about 1173.6868642866.

Adding to 1616801607 its reverse (7061086161), we get a palindrome (8677887768).

The spelling of 1616801607 in words is "one billion, six hundred sixteen million, eight hundred one thousand, six hundred seven".