1667642460 has 96 divisors (see below), whose sum is σ = 5100302592. Its totient is φ = 403768320.

The previous prime is 1667642399. The next prime is 1667642467. The reversal of 1667642460 is 642467661.

It is a happy number.

1667642460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667642467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024167 + ... + 1025793.

It is an arithmetic number, because the mean of its divisors is an integer number (53128152).

Almost surely, 2^1667642460 is an apocalyptic number.

1667642460 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 1667642460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550151296).

1667642460 is an abundant number, since it is smaller than the sum of its proper divisors (3432660132).

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

1667642460 is a wasteful number, since it uses less digits than its factorization.

1667642460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 1667642460 is about 40836.7782764508. The cubic root of 1667642460 is about 1185.8624425393.

The spelling of 1667642460 in words is "one billion, six hundred sixty-seven million, six hundred forty-two thousand, four hundred sixty".