1966267940 has 192 divisors, whose sum is σ = 5442038784. Its totient is φ = 579059712.

The previous prime is 1966267939. The next prime is 1966267973. The reversal of 1966267940 is 497626691.

It is a super-2 number, since 2×1966267940² = 7732419223743687200, which contains 22 as substring.

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, 3186512 + ... + 3187128.

It is an arithmetic number, because the mean of its divisors is an integer number (28343952).

Almost surely, 2^1966267940 is an apocalyptic number.

1966267940 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 1966267940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721019392).

1966267940 is an abundant number, since it is smaller than the sum of its proper divisors (3475770844).

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

1966267940 is a wasteful number, since it uses less digits than its factorization.

1966267940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 1966267940 is about 44342.6199045568. The cubic root of 1966267940 is about 1252.7975614491.

The spelling of 1966267940 in words is "one billion, nine hundred sixty-six million, two hundred sixty-seven thousand, nine hundred forty".