1334961000 has 160 divisors (see below), whose sum is σ = 4666713480. Its totient is φ = 355968000.

The previous prime is 1334960993. The next prime is 1334961011. The reversal of 1334961000 is 1694331.

1334961000 is a `hidden beast` number, since 1 + 3 + 3 + 49 + 610 + 0 + 0 = 666.

1334961000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 332478756 + 1002482244 = 18234^2 + 31662^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72760 + ... + 89240.

Almost surely, 2^1334961000 is an apocalyptic number.

1334961000 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 1334961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333356740).

1334961000 is an abundant number, since it is smaller than the sum of its proper divisors (3331752480).

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

1334961000 is a wasteful number, since it uses less digits than its factorization.

1334961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1334961000 is about 36537.1181129547. The cubic root of 1334961000 is about 1101.0901039193.

The spelling of 1334961000 in words is "one billion, three hundred thirty-four million, nine hundred sixty-one thousand".