1662189984 has 480 divisors, whose sum is σ = 6249640320. Its totient is φ = 423263232.

The previous prime is 1662189959. The next prime is 1662189989. The reversal of 1662189984 is 4899812661.

1662189984 is a `hidden beast` number, since 1 + 6 + 621 + 8 + 9 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (1492992) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1662189984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662189989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57316882 + ... + 57316910.

It is an arithmetic number, because the mean of its divisors is an integer number (13020084).

Almost surely, 2^1662189984 is an apocalyptic number.

1662189984 is a gapful number since it is divisible by the number (14) 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 1662189984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124820160).

1662189984 is an abundant number, since it is smaller than the sum of its proper divisors (4587450336).

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

1662189984 is an frugal number, since it uses more digits than its factorization.

1662189984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1662189984 is about 40769.9642383949. The cubic root of 1662189984 is about 1184.5686108011.

The spelling of 1662189984 in words is "one billion, six hundred sixty-two million, one hundred eighty-nine thousand, nine hundred eighty-four".