1616606640 has 320 divisors, whose sum is σ = 6396019200. Its totient is φ = 371174400.

The previous prime is 1616606617. The next prime is 1616606647. The reversal of 1616606640 is 466066161.

1616606640 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 6 + 0 + 6 + 640 = 666.

It is a super-2 number, since 2×1616606640² = 5226834056984179200, 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 = 1616606595 and 1616606604.

It is not an unprimeable number, because it can be changed into a prime (1616606647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449650 + ... + 453230.

It is an arithmetic number, because the mean of its divisors is an integer number (19987560).

Almost surely, 2^1616606640 is an apocalyptic number.

1616606640 is a gapful number since it is divisible by the number (10) 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 1616606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198009600).

1616606640 is an abundant number, since it is smaller than the sum of its proper divisors (4779412560).

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

1616606640 is a wasteful number, since it uses less digits than its factorization.

1616606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1616606640 is about 40207.0471435046. The cubic root of 1616606640 is about 1173.6396848420.

The spelling of 1616606640 in words is "one billion, six hundred sixteen million, six hundred six thousand, six hundred forty".