1613619440 has 80 divisors (see below), whose sum is σ = 3896107776. Its totient is φ = 620851200.

The previous prime is 1613619433. The next prime is 1613619451. The reversal of 1613619440 is 449163161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1613619440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427160 + ... + 430920.

Almost surely, 2^1613619440 is an apocalyptic number.

1613619440 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 1613619440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948053888).

1613619440 is an abundant number, since it is smaller than the sum of its proper divisors (2282488336).

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

1613619440 is a wasteful number, since it uses less digits than its factorization.

1613619440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1613619440 is about 40169.8822502631. The cubic root of 1613619440 is about 1172.9163470342.

The spelling of 1613619440 in words is "one billion, six hundred thirteen million, six hundred nineteen thousand, four hundred forty".