619116960 has 288 divisors, whose sum is σ = 2475893952. Its totient is φ = 128593920.

The previous prime is 619116923. The next prime is 619116983. The reversal of 619116960 is 69611916.

619116960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×619116960³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257524 + ... + 259916.

It is an arithmetic number, because the mean of its divisors is an integer number (8596854).

Almost surely, 2^619116960 is an apocalyptic number.

619116960 is a gapful number since it is divisible by the number (60) 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 619116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237946976).

619116960 is an abundant number, since it is smaller than the sum of its proper divisors (1856776992).

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

619116960 is a wasteful number, since it uses less digits than its factorization.

619116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 619116960 is about 24882.0610078828. The cubic root of 619116960 is about 852.2968834669.

The spelling of 619116960 in words is "six hundred nineteen million, one hundred sixteen thousand, nine hundred sixty".