1608426072 has 320 divisors, whose sum is σ = 5269017600. Its totient is φ = 453600000.

The previous prime is 1608426059. The next prime is 1608426073. The reversal of 1608426072 is 2706248061.

1608426072 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 42 + 607 + 2 = 666.

It is a super-3 number, since 3×1608426072³ (a number of 29 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1608426073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6407947 + ... + 6408197.

It is an arithmetic number, because the mean of its divisors is an integer number (16465680).

Almost surely, 2^1608426072 is an apocalyptic number.

1608426072 is a gapful number since it is divisible by the number (12) 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 1608426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634508800).

1608426072 is an abundant number, since it is smaller than the sum of its proper divisors (3660591528).

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

1608426072 is a wasteful number, since it uses less digits than its factorization.

1608426072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1608426072 is about 40105.1875946242. The cubic root of 1608426072 is about 1171.6566669343.

The spelling of 1608426072 in words is "one billion, six hundred eight million, four hundred twenty-six thousand, seventy-two".