1671535872 has 288 divisors, whose sum is σ = 5298048000. Its totient is φ = 518676480.

The previous prime is 1671535867. The next prime is 1671535883. The reversal of 1671535872 is 2785351761.

It is a happy number.

1671535872 is a `hidden beast` number, since 1 + 67 + 1 + 5 + 3 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6213754 + ... + 6214022.

It is an arithmetic number, because the mean of its divisors is an integer number (18396000).

Almost surely, 2^1671535872 is an apocalyptic number.

1671535872 is a gapful number since it is divisible by the number (12) 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 1671535872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024000).

1671535872 is an abundant number, since it is smaller than the sum of its proper divisors (3626512128).

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

1671535872 is a wasteful number, since it uses less digits than its factorization.

1671535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 1671535872 is about 40884.4208959843. The cubic root of 1671535872 is about 1186.7845951620.

The spelling of 1671535872 in words is "one billion, six hundred seventy-one million, five hundred thirty-five thousand, eight hundred seventy-two".