1613163600 has 150 divisors (see below), whose sum is σ = 5789630990. Its totient is φ = 430168320.

The previous prime is 1613163577. The next prime is 1613163611. The reversal of 1613163600 is 63613161.

It is a happy number.

1613163600 is a `hidden beast` number, since 1 + 613 + 16 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 1599680016 = 3672^2 + 39996^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7506 + ... + 57294.

Almost surely, 2^1613163600 is an apocalyptic number.

1613163600 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 1613163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894815495).

1613163600 is an abundant number, since it is smaller than the sum of its proper divisors (4176467390).

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

1613163600 is a wasteful number, since it uses less digits than its factorization.

1613163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49819 (or 49799 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1613163600 is about 40164.2079468773. The cubic root of 1613163600 is about 1172.8058888248.

Adding to 1613163600 its reverse (63613161), we get a palindrome (1676776761).

The spelling of 1613163600 in words is "one billion, six hundred thirteen million, one hundred sixty-three thousand, six hundred".