1672571880 has 288 divisors, whose sum is σ = 6446255400. Its totient is φ = 374879232.

The previous prime is 1672571869. The next prime is 1672571941. The reversal of 1672571880 is 881752761.

It is a happy number.

1672571880 is a `hidden beast` number, since 1 + 6 + 72 + 571 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1663171524 + 9400356 = 40782^2 + 3066^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 934026 + ... + 935814.

Almost surely, 2^1672571880 is an apocalyptic number.

1672571880 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 1672571880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223127700).

1672571880 is an abundant number, since it is smaller than the sum of its proper divisors (4773683520).

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

1672571880 is a wasteful number, since it uses less digits than its factorization.

1672571880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1672571880 is about 40897.0888939543. The cubic root of 1672571880 is about 1187.0297318706.

The spelling of 1672571880 in words is "one billion, six hundred seventy-two million, five hundred seventy-one thousand, eight hundred eighty".