1616787456 has 96 divisors (see below), whose sum is σ = 4366252800. Its totient is φ = 531947520.

The previous prime is 1616787449. The next prime is 1616787479. The reversal of 1616787456 is 6547876161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1616787456² = 5228003355757903872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1616787399 and 1616787408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483711 + ... + 487041.

It is an arithmetic number, because the mean of its divisors is an integer number (45481800).

Almost surely, 2^1616787456 is an apocalyptic number.

1616787456 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 1616787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183126400).

1616787456 is an abundant number, since it is smaller than the sum of its proper divisors (2749465344).

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

1616787456 is an equidigital number, since it uses as much as digits as its factorization.

1616787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3415 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The square root of 1616787456 is about 40209.2956416797. The cubic root of 1616787456 is about 1173.6834400588.

The spelling of 1616787456 in words is "one billion, six hundred sixteen million, seven hundred eighty-seven thousand, four hundred fifty-six".