1966939416 has 128 divisors (see below), whose sum is σ = 5919480000. Its totient is φ = 601565184.

The previous prime is 1966939363. The next prime is 1966939417. The reversal of 1966939416 is 6149396691.

1966939416 is a `hidden beast` number, since 196 + 6 + 9 + 39 + 416 = 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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966939417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483760 + ... + 487808.

Almost surely, 2^1966939416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966939416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959740000).

1966939416 is an abundant number, since it is smaller than the sum of its proper divisors (3952540584).

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

1966939416 is a wasteful number, since it uses less digits than its factorization.

1966939416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4240 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 1966939416 is about 44350.1907098493. The cubic root of 1966939416 is about 1252.9401543850.

The spelling of 1966939416 in words is "one billion, nine hundred sixty-six million, nine hundred thirty-nine thousand, four hundred sixteen".