1600916940 has 384 divisors, whose sum is σ = 5939619840. Its totient is φ = 350438400.

The previous prime is 1600916927. The next prime is 1600916971. The reversal of 1600916940 is 496190061.

1600916940 is a `hidden beast` number, since 1 + 600 + 9 + 1 + 6 + 9 + 40 = 666.

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 = 1600916895 and 1600916904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12220675 + ... + 12220805.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760).

Almost surely, 2^1600916940 is an apocalyptic number.

1600916940 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 1600916940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

1600916940 is an abundant number, since it is smaller than the sum of its proper divisors (4338702900).

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

1600916940 is a wasteful number, since it uses less digits than its factorization.

1600916940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1600916940 is about 40011.4601083240. The cubic root of 1600916940 is about 1169.8304816860.

The spelling of 1600916940 in words is "one billion, six hundred million, nine hundred sixteen thousand, nine hundred forty".