1634543680 has 112 divisors (see below), whose sum is σ = 4852757376. Its totient is φ = 509460480.

The previous prime is 1634543671. The next prime is 1634543707. The reversal of 1634543680 is 863454361.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8529 + ... + 57808.

Almost surely, 2^1634543680 is an apocalyptic number.

1634543680 is a gapful number since it is divisible by the number (10) 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 1634543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426378688).

1634543680 is an abundant number, since it is smaller than the sum of its proper divisors (3218213696).

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

1634543680 is a wasteful number, since it uses less digits than its factorization.

1634543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66372 (or 66362 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 1634543680 is about 40429.4902268134. The cubic root of 1634543680 is about 1177.9644307899.

It can be divided in two parts, 16345 and 43680, that added together give a square (60025 = 245²).

The spelling of 1634543680 in words is "one billion, six hundred thirty-four million, five hundred forty-three thousand, six hundred eighty".