1616522040 has 192 divisors, whose sum is σ = 6052700160. Its totient is φ = 366508800.

The previous prime is 1616521981. The next prime is 1616522051. The reversal of 1616522040 is 402256161.

1616522040 is a `hidden beast` number, since 1 + 6 + 1 + 652 + 2 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×1616522040² = 5226287011611523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1616521995 and 1616522013.

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 47 ways as a sum of consecutive naturals, for example, 317515 + ... + 322565.

It is an arithmetic number, because the mean of its divisors is an integer number (31524480).

Almost surely, 2^1616522040 is an apocalyptic number.

1616522040 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 1616522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026350080).

1616522040 is an abundant number, since it is smaller than the sum of its proper divisors (4436178120).

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

1616522040 is a wasteful number, since it uses less digits than its factorization.

1616522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1616522040 is about 40205.9950753616. The cubic root of 1616522040 is about 1173.6192115768.

The spelling of 1616522040 in words is "one billion, six hundred sixteen million, five hundred twenty-two thousand, forty".