1996667400 has 576 divisors, whose sum is σ = 8005737600. Its totient is φ = 402554880.

The previous prime is 1996667389. The next prime is 1996667419. The reversal of 1996667400 is 47666991.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1996667400.

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 143 ways as a sum of consecutive naturals, for example, 20584152 + ... + 20584248.

It is an arithmetic number, because the mean of its divisors is an integer number (13898850).

Almost surely, 2^1996667400 is an apocalyptic number.

1996667400 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 1996667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002868800).

1996667400 is an abundant number, since it is smaller than the sum of its proper divisors (6009070200).

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

1996667400 is a wasteful number, since it uses less digits than its factorization.

1996667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1996667400 is about 44684.0844149234. The cubic root of 1996667400 is about 1259.2208586927.

The spelling of 1996667400 in words is "one billion, nine hundred ninety-six million, six hundred sixty-seven thousand, four hundred".