1966123800 has 192 divisors, whose sum is σ = 7129008000. Its totient is φ = 496679040.

The previous prime is 1966123771. The next prime is 1966123807. The reversal of 1966123800 is 83216691.

1966123800 is a `hidden beast` number, since 1 + 9 + 6 + 612 + 38 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966123807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93019 + ... + 112181.

It is an arithmetic number, because the mean of its divisors is an integer number (37130250).

Almost surely, 2^1966123800 is an apocalyptic number.

1966123800 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 1966123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564504000).

1966123800 is an abundant number, since it is smaller than the sum of its proper divisors (5162884200).

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

1966123800 is a wasteful number, since it uses less digits than its factorization.

1966123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19207 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1966123800 is about 44340.9945761256. The cubic root of 1966123800 is about 1252.7669480131.

The spelling of 1966123800 in words is "one billion, nine hundred sixty-six million, one hundred twenty-three thousand, eight hundred".