1662325920 has 288 divisors, whose sum is σ = 6037379712. Its totient is φ = 415574016.

The previous prime is 1662325913. The next prime is 1662325921. The reversal of 1662325920 is 295232661.

1662325920 is a `hidden beast` number, since 1 + 6 + 62 + 3 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1662325921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1754887 + ... + 1755833.

It is an arithmetic number, because the mean of its divisors is an integer number (20963124).

Almost surely, 2^1662325920 is an apocalyptic number.

1662325920 is a gapful number since it is divisible by the number (10) 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 1662325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018689856).

1662325920 is an abundant number, since it is smaller than the sum of its proper divisors (4375053792).

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

1662325920 is a wasteful number, since it uses less digits than its factorization.

1662325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1662325920 is about 40771.6313139418. The cubic root of 1662325920 is about 1184.6009017608.

The spelling of 1662325920 in words is "one billion, six hundred sixty-two million, three hundred twenty-five thousand, nine hundred twenty".