1842897672 has 192 divisors, whose sum is σ = 6424104960. Its totient is φ = 463190400.

The previous prime is 1842897659. The next prime is 1842897737. The reversal of 1842897672 is 2767982481.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166503 + ... + 177225.

It is an arithmetic number, because the mean of its divisors is an integer number (33458880).

Almost surely, 2^1842897672 is an apocalyptic number.

1842897672 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 1842897672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212052480).

1842897672 is an abundant number, since it is smaller than the sum of its proper divisors (4581207288).

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

1842897672 is a wasteful number, since it uses less digits than its factorization.

1842897672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784 (or 10777 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1842897672 is about 42928.9840550647. The cubic root of 1842897672 is about 1226.0280520536.

The spelling of 1842897672 in words is "one billion, eight hundred forty-two million, eight hundred ninety-seven thousand, six hundred seventy-two".