1613632640 has 64 divisors (see below), whose sum is σ = 3862797120. Its totient is φ = 644582400.

The previous prime is 1613632637. The next prime is 1613632649. The reversal of 1613632640 is 462363161.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1613632597 and 1613632606.

It is not an unprimeable number, because it can be changed into a prime (1613632649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697085 + ... + 699395.

It is an arithmetic number, because the mean of its divisors is an integer number (60356205).

Almost surely, 2^1613632640 is an apocalyptic number.

1613632640 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 1613632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931398560).

1613632640 is an abundant number, since it is smaller than the sum of its proper divisors (2249164480).

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

1613632640 is a wasteful number, since it uses less digits than its factorization.

1613632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1613632640 is about 40170.0465521264. The cubic root of 1613632640 is about 1172.9195453211.

The spelling of 1613632640 in words is "one billion, six hundred thirteen million, six hundred thirty-two thousand, six hundred forty".