1601962200 has 288 divisors, whose sum is σ = 5849625600. Its totient is φ = 391392000.

The previous prime is 1601962199. The next prime is 1601962211. The reversal of 1601962200 is 22691061.

It is a super-3 number, since 3×1601962200³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1059445 + ... + 1060955.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^1601962200 is an apocalyptic number.

1601962200 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 1601962200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

1601962200 is an abundant number, since it is smaller than the sum of its proper divisors (4247663400).

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

1601962200 is a wasteful number, since it uses less digits than its factorization.

1601962200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1601962200 is about 40024.5199846294. The cubic root of 1601962200 is about 1170.0850255983.

The spelling of 1601962200 in words is "one billion, six hundred one million, nine hundred sixty-two thousand, two hundred".