1984593072 has 160 divisors (see below), whose sum is σ = 6439587840. Its totient is φ = 511637760.

The previous prime is 1984593071. The next prime is 1984593077. The reversal of 1984593072 is 2703954891.

1984593072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1984593072² = 7877219322860794368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1984593071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511813 + ... + 515675.

It is an arithmetic number, because the mean of its divisors is an integer number (40247424).

Almost surely, 2^1984593072 is an apocalyptic number.

1984593072 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 1984593072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219793920).

1984593072 is an abundant number, since it is smaller than the sum of its proper divisors (4454994768).

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

1984593072 is a wasteful number, since it uses less digits than its factorization.

1984593072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1984593072 is about 44548.7718349227. The cubic root of 1984593072 is about 1256.6774544577.

The spelling of 1984593072 in words is "one billion, nine hundred eighty-four million, five hundred ninety-three thousand, seventy-two".