1961500800 has 576 divisors, whose sum is σ = 7921189440. Its totient is φ = 417792000.

The previous prime is 1961500769. The next prime is 1961500847. The reversal of 1961500800 is 80051691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19420750 + ... + 19420850.

It is an arithmetic number, because the mean of its divisors is an integer number (13752065).

Almost surely, 2^1961500800 is an apocalyptic number.

1961500800 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 1961500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960594720).

1961500800 is an abundant number, since it is smaller than the sum of its proper divisors (5959688640).

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

1961500800 is a wasteful number, since it uses less digits than its factorization.

1961500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1961500800 is about 44288.8338071799. The cubic root of 1961500800 is about 1251.7842891712.

The spelling of 1961500800 in words is "one billion, nine hundred sixty-one million, five hundred thousand, eight hundred".