635116416 has 96 divisors (see below), whose sum is σ = 1854472200. Its totient is φ = 192445440.

The previous prime is 635116397. The next prime is 635116453. The reversal of 635116416 is 614611536.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39630 + ... + 53298.

Almost surely, 2^635116416 is an apocalyptic number.

635116416 is a gapful number since it is divisible by the number (66) 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 635116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927236100).

635116416 is an abundant number, since it is smaller than the sum of its proper divisors (1219355784).

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

635116416 is a wasteful number, since it uses less digits than its factorization.

635116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13708 (or 13685 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 635116416 is about 25201.5161448672. The cubic root of 635116416 is about 859.5763263781.

The spelling of 635116416 in words is "six hundred thirty-five million, one hundred sixteen thousand, four hundred sixteen".