1616630400 has 864 divisors, whose sum is σ = 7468138080. Its totient is φ = 335923200.

The previous prime is 1616630399. The next prime is 1616630437. The reversal of 1616630400 is 40366161.

1616630400 is a `hidden beast` number, since 1 + 616 + 6 + 3 + 0 + 40 + 0 = 666.

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

It is a super-2 number, since 2×1616630400² = 5226987700408320000, 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146966395 + ... + 146966405.

Almost surely, 2^1616630400 is an apocalyptic number.

1616630400 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 1616630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734069040).

1616630400 is an abundant number, since it is smaller than the sum of its proper divisors (5851507680).

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

1616630400 is an frugal number, since it uses more digits than its factorization.

1616630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1616630400 is about 40207.3426130104. The cubic root of 1616630400 is about 1173.6454346519.

Adding to 1616630400 its reverse (40366161), we get a palindrome (1656996561).

The spelling of 1616630400 in words is "one billion, six hundred sixteen million, six hundred thirty thousand, four hundred".