619530240 has 384 divisors, whose sum is σ = 2352430080. Its totient is φ = 136249344.

The previous prime is 619530221. The next prime is 619530251. The reversal of 619530240 is 42035916.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 619530198 and 619530207.

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, 9246687 + ... + 9246753.

It is an arithmetic number, because the mean of its divisors is an integer number (6126120).

Almost surely, 2^619530240 is an apocalyptic number.

619530240 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 619530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

619530240 is an abundant number, since it is smaller than the sum of its proper divisors (1732899840).

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

619530240 is a wasteful number, since it uses less digits than its factorization.

619530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 619530240 is about 24890.3644007074. The cubic root of 619530240 is about 852.4864862568.

The spelling of 619530240 in words is "six hundred nineteen million, five hundred thirty thousand, two hundred forty".