1334161920 has 640 divisors, whose sum is σ = 5543645184. Its totient is φ = 266010624.

The previous prime is 1334161919. The next prime is 1334161957. The reversal of 1334161920 is 291614331.

1334161920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16074199 + ... + 16074281.

Almost surely, 2^1334161920 is an apocalyptic number.

1334161920 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 1334161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771822592).

1334161920 is an abundant number, since it is smaller than the sum of its proper divisors (4209483264).

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

1334161920 is a wasteful number, since it uses less digits than its factorization.

1334161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1334161920 is about 36526.1812950656. The cubic root of 1334161920 is about 1100.8703634940.

The spelling of 1334161920 in words is "one billion, three hundred thirty-four million, one hundred sixty-one thousand, nine hundred twenty".