1671610272 has 384 divisors, whose sum is σ = 5295144960. Its totient is φ = 457850880.

The previous prime is 1671610231. The next prime is 1671610277. The reversal of 1671610272 is 2720161761.

It is not an unprimeable number, because it can be changed into a prime (1671610277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35566153 + ... + 35566199.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^1671610272 is an apocalyptic number.

1671610272 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 1671610272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1671610272 is an abundant number, since it is smaller than the sum of its proper divisors (3623534688).

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

1671610272 is a wasteful number, since it uses less digits than its factorization.

1671610272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1671610272 is about 40885.3307678928. The cubic root of 1671610272 is about 1186.8022028136.

The spelling of 1671610272 in words is "one billion, six hundred seventy-one million, six hundred ten thousand, two hundred seventy-two".