1616811840 has 840 divisors, whose sum is σ = 7147499040. Its totient is φ = 344881152.

The previous prime is 1616811827. The next prime is 1616811853. The reversal of 1616811840 is 481186161.

It is an interprime number because it is at equal distance from previous prime (1616811827) and next prime (1616811853).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×1616811840² = 5228161051928371200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1616811795 and 1616811804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131487 + ... + 24131553.

Almost surely, 2^1616811840 is an apocalyptic number.

1616811840 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 1616811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573749520).

1616811840 is an abundant number, since it is smaller than the sum of its proper divisors (5530687200).

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

1616811840 is a wasteful number, since it uses less digits than its factorization.

1616811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1616811840 is about 40209.5988540050. The cubic root of 1616811840 is about 1173.6893404330.

The spelling of 1616811840 in words is "one billion, six hundred sixteen million, eight hundred eleven thousand, eight hundred forty".