1616648400 has 360 divisors, whose sum is σ = 5896196280. Its totient is φ = 409743360.

The previous prime is 1616648381. The next prime is 1616648417. The reversal of 1616648400 is 48466161.

1616648400 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 648 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7354944 + 1609293456 = 2712^2 + 40116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1616648400² = 5227104098445120000, which contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 7059486 + ... + 7059714.

It is an arithmetic number, because the mean of its divisors is an integer number (16378323).

Almost surely, 2^1616648400 is an apocalyptic number.

1616648400 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 1616648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948098140).

1616648400 is an abundant number, since it is smaller than the sum of its proper divisors (4279547880).

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

1616648400 is a wasteful number, since it uses less digits than its factorization.

1616648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1616648400 is about 40207.5664520995. The cubic root of 1616648400 is about 1173.6497905309.

The spelling of 1616648400 in words is "one billion, six hundred sixteen million, six hundred forty-eight thousand, four hundred".