1606261272 has 128 divisors (see below), whose sum is σ = 5088960000. Its totient is φ = 410342400.

The previous prime is 1606261219. The next prime is 1606261289. The reversal of 1606261272 is 2721626061.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105604 + ... + 119852.

It is an arithmetic number, because the mean of its divisors is an integer number (39757500).

Almost surely, 2^1606261272 is an apocalyptic number.

1606261272 is a gapful number since it is divisible by the number (12) 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 1606261272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480000).

1606261272 is an abundant number, since it is smaller than the sum of its proper divisors (3482698728).

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

1606261272 is a wasteful number, since it uses less digits than its factorization.

1606261272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14337 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1606261272 is about 40078.1894800651. The cubic root of 1606261272 is about 1171.1307819976.

The spelling of 1606261272 in words is "one billion, six hundred six million, two hundred sixty-one thousand, two hundred seventy-two".