1616260240 has 80 divisors (see below), whose sum is σ = 4326187392. Its totient is φ = 550075392.

The previous prime is 1616260201. The next prime is 1616260271. The reversal of 1616260240 is 420626161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1616260240² = 5224594326809715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1616260199 and 1616260208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66187 + ... + 87253.

Almost surely, 2^1616260240 is an apocalyptic number.

1616260240 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 1616260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163093696).

1616260240 is an abundant number, since it is smaller than the sum of its proper divisors (2709927152).

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

1616260240 is a wasteful number, since it uses less digits than its factorization.

1616260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21224 (or 21218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1616260240 is about 40202.7392101583. The cubic root of 1616260240 is about 1173.5558512493. Note that the first 3 decimals are identical.

The spelling of 1616260240 in words is "one billion, six hundred sixteen million, two hundred sixty thousand, two hundred forty".