1667980080 has 320 divisors, whose sum is σ = 6239600640. Its totient is φ = 407116800.

The previous prime is 1667980051. The next prime is 1667980099. The reversal of 1667980080 is 800897661.

It is a happy number.

1667980080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5363125 + ... + 5363435.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^1667980080 is an apocalyptic number.

1667980080 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 1667980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119800320).

1667980080 is an abundant number, since it is smaller than the sum of its proper divisors (4571620560).

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

1667980080 is a wasteful number, since it uses less digits than its factorization.

1667980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1667980080 is about 40840.9118409469. The cubic root of 1667980080 is about 1185.9424644608.

The spelling of 1667980080 in words is "one billion, six hundred sixty-seven million, nine hundred eighty thousand, eighty".