1967992416 has 192 divisors, whose sum is σ = 6258954240. Its totient is φ = 597957120.

The previous prime is 1967992379. The next prime is 1967992423. The reversal of 1967992416 is 6142997691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931201 + ... + 933311.

It is an arithmetic number, because the mean of its divisors is an integer number (32598720).

Almost surely, 2^1967992416 is an apocalyptic number.

1967992416 is a gapful number since it is divisible by the number (16) 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 1967992416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129477120).

1967992416 is an abundant number, since it is smaller than the sum of its proper divisors (4290961824).

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

1967992416 is a wasteful number, since it uses less digits than its factorization.

1967992416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2212 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 1967992416 is about 44362.0605472740. The cubic root of 1967992416 is about 1253.1637014525.

The spelling of 1967992416 in words is "one billion, nine hundred sixty-seven million, nine hundred ninety-two thousand, four hundred sixteen".