1984561152 has 216 divisors, whose sum is σ = 6215934816. Its totient is φ = 561512448.

The previous prime is 1984561127. The next prime is 1984561177. The reversal of 1984561152 is 2511654891.

It is an interprime number because it is at equal distance from previous prime (1984561127) and next prime (1984561177).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19267533 + ... + 19267635.

It is an arithmetic number, because the mean of its divisors is an integer number (28777476).

Almost surely, 2^1984561152 is an apocalyptic number.

1984561152 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 1984561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107967408).

1984561152 is an abundant number, since it is smaller than the sum of its proper divisors (4231373664).

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

1984561152 is an frugal number, since it uses more digits than its factorization.

1984561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 1984561152 is about 44548.4135744473. The cubic root of 1984561152 is about 1256.6707169960.

The spelling of 1984561152 in words is "one billion, nine hundred eighty-four million, five hundred sixty-one thousand, one hundred fifty-two".