1616401008 has 120 divisors (see below), whose sum is σ = 4842912256. Its totient is φ = 521380800.

The previous prime is 1616400991. The next prime is 1616401019. The reversal of 1616401008 is 8001046161.

1616401008 is a `hidden beast` number, since 1 + 6 + 1 + 640 + 10 + 0 + 8 = 666.

It is a super-2 number, since 2×1616401008² = 5225504437326832128, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113823 + ... + 127233.

Almost surely, 2^1616401008 is an apocalyptic number.

1616401008 is a gapful number since it is divisible by the number (18) 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 1616401008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421456128).

1616401008 is an abundant number, since it is smaller than the sum of its proper divisors (3226511248).

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

1616401008 is a wasteful number, since it uses less digits than its factorization.

1616401008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13465 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1616401008 is about 40204.4898985176. The cubic root of 1616401008 is about 1173.5899204976.

Adding to 1616401008 its reverse (8001046161), we get a palindrome (9617447169).

The spelling of 1616401008 in words is "one billion, six hundred sixteen million, four hundred one thousand, eight".