1667404128 has 144 divisors (see below), whose sum is σ = 4976109936. Its totient is φ = 485913600.

The previous prime is 1667404127. The next prime is 1667404177. The reversal of 1667404128 is 8214047661.

It is a super-3 number, since 3×1667404128³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667404127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448678 + ... + 452378.

It is an arithmetic number, because the mean of its divisors is an integer number (34556319).

Almost surely, 2^1667404128 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 1667404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488054968).

1667404128 is an abundant number, since it is smaller than the sum of its proper divisors (3308705808).

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

1667404128 is a wasteful number, since it uses less digits than its factorization.

1667404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1667404128 is about 40833.8600673510. The cubic root of 1667404128 is about 1185.8059471294.

The spelling of 1667404128 in words is "one billion, six hundred sixty-seven million, four hundred four thousand, one hundred twenty-eight".