1634875680 has 96 divisors (see below), whose sum is σ = 5184648000. Its totient is φ = 433021952.

The previous prime is 1634875657. The next prime is 1634875681. The reversal of 1634875680 is 865784361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1634875680³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1634875681) 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, 60091 + ... + 82949.

It is an arithmetic number, because the mean of its divisors is an integer number (54006750).

Almost surely, 2^1634875680 is an apocalyptic number.

1634875680 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 1634875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592324000).

1634875680 is an abundant number, since it is smaller than the sum of its proper divisors (3549772320).

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

1634875680 is a wasteful number, since it uses less digits than its factorization.

1634875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23026 (or 23018 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1634875680 is about 40433.5959320959. The cubic root of 1634875680 is about 1178.0441793910.

The spelling of 1634875680 in words is "one billion, six hundred thirty-four million, eight hundred seventy-five thousand, six hundred eighty".