1635161264 has 80 divisors (see below), whose sum is σ = 3660837120. Its totient is φ = 700212480.

The previous prime is 1635161263. The next prime is 1635161273. The reversal of 1635161264 is 4621615361.

It is not an unprimeable number, because it can be changed into a prime (1635161263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268202 + ... + 274230.

It is an arithmetic number, because the mean of its divisors is an integer number (45760464).

Almost surely, 2^1635161264 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 1635161264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830418560).

1635161264 is an abundant number, since it is smaller than the sum of its proper divisors (2025675856).

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

1635161264 is a wasteful number, since it uses less digits than its factorization.

1635161264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6132 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 1635161264 is about 40437.1272965823. The cubic root of 1635161264 is about 1178.1127699237.

The spelling of 1635161264 in words is "one billion, six hundred thirty-five million, one hundred sixty-one thousand, two hundred sixty-four".