1984290672 has 320 divisors, whose sum is σ = 6577356800. Its totient is φ = 512096256.

The previous prime is 1984290647. The next prime is 1984290701. The reversal of 1984290672 is 2760924891.

It is a super-3 number, since 3×1984290672³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15624273 + ... + 15624399.

It is an arithmetic number, because the mean of its divisors is an integer number (20554240).

Almost surely, 2^1984290672 is an apocalyptic number.

1984290672 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 1984290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288678400).

1984290672 is an abundant number, since it is smaller than the sum of its proper divisors (4593066128).

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

1984290672 is a wasteful number, since it uses less digits than its factorization.

1984290672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1984290672 is about 44545.3776726609. The cubic root of 1984290672 is about 1256.6136229732.

The spelling of 1984290672 in words is "one billion, nine hundred eighty-four million, two hundred ninety thousand, six hundred seventy-two".