1613636640 has 864 divisors, whose sum is σ = 7319894400. Its totient is φ = 335301120.

The previous prime is 1613636627. The next prime is 1613636657. The reversal of 1613636640 is 466363161.

1613636640 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 6 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1613636595 and 1613636604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146694235 + ... + 146694245.

It is an arithmetic number, because the mean of its divisors is an integer number (8472100).

Almost surely, 2^1613636640 is an apocalyptic number.

1613636640 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 1613636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659947200).

1613636640 is an abundant number, since it is smaller than the sum of its proper divisors (5706257760).

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

1613636640 is an equidigital number, since it uses as much as digits as its factorization.

1613636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1613636640 is about 40170.0963404371. The cubic root of 1613636640 is about 1172.9205144955.

The spelling of 1613636640 in words is "one billion, six hundred thirteen million, six hundred thirty-six thousand, six hundred forty".