1667198400 has 504 divisors, whose sum is σ = 6583923840. Its totient is φ = 361697280.

The previous prime is 1667198363. The next prime is 1667198411. The reversal of 1667198400 is 48917661.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28257571 + ... + 28257629.

Almost surely, 2^1667198400 is an apocalyptic number.

1667198400 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 1667198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291961920).

1667198400 is an abundant number, since it is smaller than the sum of its proper divisors (4916725440).

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

1667198400 is a wasteful number, since it uses less digits than its factorization.

1667198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1667198400 is about 40831.3409037715. The cubic root of 1667198400 is about 1185.7571760056.

The spelling of 1667198400 in words is "one billion, six hundred sixty-seven million, one hundred ninety-eight thousand, four hundred".