1667249904 has 80 divisors (see below), whose sum is σ = 4491141120. Its totient is φ = 532304640.

The previous prime is 1667249897. The next prime is 1667249929. The reversal of 1667249904 is 4099427661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172069 + ... + 181499.

It is an arithmetic number, because the mean of its divisors is an integer number (56139264).

Almost surely, 2^1667249904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1667249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245570560).

1667249904 is an abundant number, since it is smaller than the sum of its proper divisors (2823891216).

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

1667249904 is a wasteful number, since it uses less digits than its factorization.

1667249904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 1667249904 is about 40831.9715908992. The cubic root of 1667249904 is about 1185.7693862318.

The spelling of 1667249904 in words is "one billion, six hundred sixty-seven million, two hundred forty-nine thousand, nine hundred four".