1671460560 has 720 divisors, whose sum is σ = 7343369280. Its totient is φ = 336752640.

The previous prime is 1671460541. The next prime is 1671460613. The reversal of 1671460560 is 650641761.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22896684 + ... + 22896756.

It is an arithmetic number, because the mean of its divisors is an integer number (10199124).

Almost surely, 2^1671460560 is an apocalyptic number.

1671460560 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 1671460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671684640).

1671460560 is an abundant number, since it is smaller than the sum of its proper divisors (5671908720).

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

1671460560 is a wasteful number, since it uses less digits than its factorization.

1671460560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1671460560 is about 40883.4998501841. The cubic root of 1671460560 is about 1186.7667711425.

The spelling of 1671460560 in words is "one billion, six hundred seventy-one million, four hundred sixty thousand, five hundred sixty".