1667012400 has 300 divisors, whose sum is σ = 6245685072. Its totient is φ = 425018880.

The previous prime is 1667012381. The next prime is 1667012407. The reversal of 1667012400 is 42107661.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1667012407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 744082 + ... + 746318.

Almost surely, 2^1667012400 is an apocalyptic number.

1667012400 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 1667012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122842536).

1667012400 is an abundant number, since it is smaller than the sum of its proper divisors (4578672672).

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

1667012400 is a wasteful number, since it uses less digits than its factorization.

1667012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1667012400 is about 40829.0631780843. The cubic root of 1667012400 is about 1185.7130782671.

The spelling of 1667012400 in words is "one billion, six hundred sixty-seven million, twelve thousand, four hundred".