1634697216 has 192 divisors, whose sum is σ = 4948154640. Its totient is φ = 519045120.

The previous prime is 1634697187. The next prime is 1634697217. The reversal of 1634697216 is 6127964361.

1634697216 is a `hidden beast` number, since 1 + 6 + 346 + 97 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634697217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6782856 + ... + 6783096.

Almost surely, 2^1634697216 is an apocalyptic number.

1634697216 is a gapful number since it is divisible by the number (16) 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 1634697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474077320).

1634697216 is an abundant number, since it is smaller than the sum of its proper divisors (3313457424).

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

1634697216 is an equidigital number, since it uses as much as digits as its factorization.

1634697216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 269 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1634697216 is about 40431.3889941961. The cubic root of 1634697216 is about 1178.0013124972.

The spelling of 1634697216 in words is "one billion, six hundred thirty-four million, six hundred ninety-seven thousand, two hundred sixteen".