1611613440 has 432 divisors, whose sum is σ = 6058416000. Its totient is φ = 394149888.

The previous prime is 1611613429. The next prime is 1611613441. The reversal of 1611613440 is 443161161.

1611613440 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 613 + 4 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611613441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8098461 + ... + 8098659.

Almost surely, 2^1611613440 is an apocalyptic number.

1611613440 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 1611613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029208000).

1611613440 is an abundant number, since it is smaller than the sum of its proper divisors (4446802560).

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

1611613440 is a wasteful number, since it uses less digits than its factorization.

1611613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1611613440 is about 40144.9055298428. The cubic root of 1611613440 is about 1172.4301014730.

The spelling of 1611613440 in words is "one billion, six hundred eleven million, six hundred thirteen thousand, four hundred forty".