1961869800 has 288 divisors, whose sum is σ = 6809876640. Its totient is φ = 466752000.

The previous prime is 1961869787. The next prime is 1961869823. The reversal of 1961869800 is 89681691.

It is a super-2 number, since 2×1961869800² = 7697866224304080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1961869800.

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, 4428379 + ... + 4428821.

It is an arithmetic number, because the mean of its divisors is an integer number (23645405).

Almost surely, 2^1961869800 is an apocalyptic number.

1961869800 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 1961869800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404938320).

1961869800 is an abundant number, since it is smaller than the sum of its proper divisors (4848006840).

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

1961869800 is a wasteful number, since it uses less digits than its factorization.

1961869800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 1961869800 is about 44292.9994468652. Note that the first 3 decimals coincide. The cubic root of 1961869800 is about 1251.8627799950.

The spelling of 1961869800 in words is "one billion, nine hundred sixty-one million, eight hundred sixty-nine thousand, eight hundred".