616584240 has 120 divisors (see below), whose sum is σ = 2121301728. Its totient is φ = 160404480.

The previous prime is 616584209. The next prime is 616584251. The reversal of 616584240 is 42485616.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×616584240² = 760352250032755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 616584195 and 616584204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19077 + ... + 39963.

Almost surely, 2^616584240 is an apocalyptic number.

616584240 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 616584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060650864).

616584240 is an abundant number, since it is smaller than the sum of its proper divisors (1504717488).

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

616584240 is a wasteful number, since it uses less digits than its factorization.

616584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20947 (or 20938 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 616584240 is about 24831.1143527631. The cubic root of 616584240 is about 851.1330863388.

The spelling of 616584240 in words is "six hundred sixteen million, five hundred eighty-four thousand, two hundred forty".