1634680320 has 320 divisors, whose sum is σ = 6434588160. Its totient is φ = 344752128.

The previous prime is 1634680319. The next prime is 1634680331. The reversal of 1634680320 is 230864361.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697711 + ... + 700049.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^1634680320 is an apocalyptic number.

1634680320 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 1634680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1634680320 is an abundant number, since it is smaller than the sum of its proper divisors (4799907840).

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

1634680320 is a wasteful number, since it uses less digits than its factorization.

1634680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1634680320 is about 40431.1800470874. The cubic root of 1634680320 is about 1177.9972539313.

The spelling of 1634680320 in words is "one billion, six hundred thirty-four million, six hundred eighty thousand, three hundred twenty".