619936416 has 240 divisors, whose sum is σ = 2107607040. Its totient is φ = 176670720.

The previous prime is 619936397. The next prime is 619936417. The reversal of 619936416 is 614639916.

619936416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (619936417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484065 + ... + 485343.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^619936416 is an apocalyptic number.

619936416 is a gapful number since it is divisible by the number (66) 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 619936416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

619936416 is an abundant number, since it is smaller than the sum of its proper divisors (1487670624).

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

619936416 is a wasteful number, since it uses less digits than its factorization.

619936416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1312 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 619936416 is about 24898.5223657951. The cubic root of 619936416 is about 852.6727477631.

The spelling of 619936416 in words is "six hundred nineteen million, nine hundred thirty-six thousand, four hundred sixteen".