1671334560 has 672 divisors, whose sum is σ = 7139301120. Its totient is φ = 361304064.

The previous prime is 1671334559. The next prime is 1671334571. The reversal of 1671334560 is 654331761.

1671334560 is a `hidden beast` number, since 1 + 67 + 1 + 3 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1671334560² = 5586718422900787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18778996 + ... + 18779084.

It is an arithmetic number, because the mean of its divisors is an integer number (10623960).

Almost surely, 2^1671334560 is an apocalyptic number.

1671334560 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 1671334560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569650560).

1671334560 is an abundant number, since it is smaller than the sum of its proper divisors (5467966560).

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

1671334560 is an equidigital number, since it uses as much as digits as its factorization.

1671334560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1671334560 is about 40881.9588571781. The cubic root of 1671334560 is about 1186.7369496450.

The spelling of 1671334560 in words is "one billion, six hundred seventy-one million, three hundred thirty-four thousand, five hundred sixty".