1963951416 has 384 divisors, whose sum is σ = 6885964800. Its totient is φ = 492687360.

The previous prime is 1963951399. The next prime is 1963951441. The reversal of 1963951416 is 6141593691.

1963951416 is a `hidden beast` number, since 1 + 9 + 639 + 5 + 1 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8149056 + ... + 8149296.

It is an arithmetic number, because the mean of its divisors is an integer number (17932200).

Almost surely, 2^1963951416 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 1963951416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442982400).

1963951416 is an abundant number, since it is smaller than the sum of its proper divisors (4922013384).

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

1963951416 is a wasteful number, since it uses less digits than its factorization.

1963951416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 1963951416 is about 44316.4914676241. The cubic root of 1963951416 is about 1252.3053809743.

The spelling of 1963951416 in words is "one billion, nine hundred sixty-three million, nine hundred fifty-one thousand, four hundred sixteen".