1634138064 has 210 divisors, whose sum is σ = 5146488870. Its totient is φ = 502205184.

The previous prime is 1634138027. The next prime is 1634138117. The reversal of 1634138064 is 4608314361.

It is a happy number.

1634138064 is a `hidden beast` number, since 1 + 634 + 13 + 8 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2624400 + 1631513664 = 1620^2 + 40392^2 .

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

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 1970802 + ... + 1971630.

Almost surely, 2^1634138064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1634138064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573244435).

1634138064 is an abundant number, since it is smaller than the sum of its proper divisors (3512350806).

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

1634138064 is an equidigital number, since it uses as much as digits as its factorization.

1634138064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1634138064 is about 40424.4735772774. The cubic root of 1634138064 is about 1177.8669844803.

The spelling of 1634138064 in words is "one billion, six hundred thirty-four million, one hundred thirty-eight thousand, sixty-four".