1667619360 has 384 divisors, whose sum is σ = 6706022400. Its totient is φ = 382786560.

The previous prime is 1667619353. The next prime is 1667619377. The reversal of 1667619360 is 639167661.

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, 901957 + ... + 903803.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

Almost surely, 2^1667619360 is an apocalyptic number.

1667619360 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 1667619360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353011200).

1667619360 is an abundant number, since it is smaller than the sum of its proper divisors (5038403040).

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

1667619360 is a wasteful number, since it uses less digits than its factorization.

1667619360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1667619360 is about 40836.4954421899. The cubic root of 1667619360 is about 1185.8569670353.

It can be divided in two parts, 166761 and 9360, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 1667619360 in words is "one billion, six hundred sixty-seven million, six hundred nineteen thousand, three hundred sixty".