1616380920 has 960 divisors, whose sum is σ = 7415654400. Its totient is φ = 307929600.

The previous prime is 1616380891. The next prime is 1616380949. The reversal of 1616380920 is 290836161.

1616380920 is a `hidden beast` number, since 1 + 616 + 38 + 0 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1616380891) and next prime (1616380949).

It is a super-2 number, since 2×1616380920² = 5225374557080092800, 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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52141305 + ... + 52141335.

It is an arithmetic number, because the mean of its divisors is an integer number (7724640).

Almost surely, 2^1616380920 is an apocalyptic number.

1616380920 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 1616380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707827200).

1616380920 is an abundant number, since it is smaller than the sum of its proper divisors (5799273480).

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

1616380920 is a wasteful number, since it uses less digits than its factorization.

1616380920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1616380920 is about 40204.2400748976. The cubic root of 1616380920 is about 1173.5850588385.

The spelling of 1616380920 in words is "one billion, six hundred sixteen million, three hundred eighty thousand, nine hundred twenty".