1634605056 has 384 divisors, whose sum is σ = 5723827200. Its totient is φ = 451215360.

The previous prime is 1634605051. The next prime is 1634605073. The reversal of 1634605056 is 6505064361.

1634605056 is a `hidden beast` number, since 16 + 34 + 605 + 0 + 5 + 6 = 666.

1634605056 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (384).

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 1634605056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634605051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15869901 + ... + 15870003.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^1634605056 is an apocalyptic number.

1634605056 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 1634605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861913600).

1634605056 is an abundant number, since it is smaller than the sum of its proper divisors (4089222144).

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

1634605056 is a wasteful number, since it uses less digits than its factorization.

1634605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1634605056 is about 40430.2492695754. The cubic root of 1634605056 is about 1177.9791745256.

The spelling of 1634605056 in words is "one billion, six hundred thirty-four million, six hundred five thousand, fifty-six".