1616007456 has 480 divisors, whose sum is σ = 5929156800. Its totient is φ = 426746880.

The previous prime is 1616007391. The next prime is 1616007461. The reversal of 1616007456 is 6547006161.

1616007456 is a `hidden beast` number, since 1 + 6 + 1 + 600 + 7 + 45 + 6 = 666.

It is a super-2 number, since 2×1616007456² = 5222960195695183872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1616007456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39414796 + ... + 39414836.

It is an arithmetic number, because the mean of its divisors is an integer number (12352410).

Almost surely, 2^1616007456 is an apocalyptic number.

1616007456 is a gapful number since it is divisible by the number (16) 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 1616007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964578400).

1616007456 is an abundant number, since it is smaller than the sum of its proper divisors (4313149344).

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

1616007456 is an equidigital number, since it uses as much as digits as its factorization.

1616007456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1616007456 is about 40199.5952218427. The cubic root of 1616007456 is about 1173.4946664635.

The spelling of 1616007456 in words is "one billion, six hundred sixteen million, seven thousand, four hundred fifty-six".