1962201600 has 180 divisors, whose sum is σ = 7022590146. Its totient is φ = 523223040.

The previous prime is 1962201581. The next prime is 1962201613. The reversal of 1962201600 is 61022691.

It can be written as a sum of positive squares in 3 ways, for example, as 1184461056 + 777740544 = 34416^2 + 27888^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106684 + ... + 123716.

Almost surely, 2^1962201600 is an apocalyptic number.

1962201600 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 1962201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511295073).

1962201600 is an abundant number, since it is smaller than the sum of its proper divisors (5060388546).

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

1962201600 is a wasteful number, since it uses less digits than its factorization.

1962201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17067 (or 17043 counting only the distinct ones).

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

The square root of 1962201600 is about 44296.7448013960. The cubic root of 1962201600 is about 1251.9333495194.

It can be divided in two parts, 1962201 and 600, that added together give a square (1962801 = 1401²).

The spelling of 1962201600 in words is "one billion, nine hundred sixty-two million, two hundred one thousand, six hundred".