1634374560 has 768 divisors, whose sum is σ = 7023034368. Its totient is φ = 309657600.

The previous prime is 1634374523. The next prime is 1634374571. The reversal of 1634374560 is 654734361.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23019325 + ... + 23019395.

It is an arithmetic number, because the mean of its divisors is an integer number (9144576).

Almost surely, 2^1634374560 is an apocalyptic number.

1634374560 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 1634374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511517184).

1634374560 is an abundant number, since it is smaller than the sum of its proper divisors (5388659808).

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

1634374560 is a wasteful number, since it uses less digits than its factorization.

1634374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 1634374560 is about 40427.3986301370. The cubic root of 1634374560 is about 1177.9238028932.

The spelling of 1634374560 in words is "one billion, six hundred thirty-four million, three hundred seventy-four thousand, five hundred sixty".