635976 has 72 divisors (see below), whose sum is σ = 1919190. Its totient is φ = 190080.

The previous prime is 635969. The next prime is 635977. The reversal of 635976 is 679536.

It is a happy number.

635976 is a `hidden beast` number, since 63 + 597 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 108900 = 726^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 6⁷ + 3⁵ + 9⁵ + 5 + 7⁵ + 6⁷ .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 635976.

It is not an unprimeable number, because it can be changed into a prime (635977) by changing a digit.

635976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8676 + ... + 8748.

2⁶³⁵⁹⁷⁶ is an apocalyptic number.

635976 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 635976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959595).

635976 is an abundant number, since it is smaller than the sum of its proper divisors (1283214).

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

635976 is a wasteful number, since it uses less digits than its factorization.

635976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 635976 is about 797.4810342572. The cubic root of 635976 is about 85.9963942963.

The spelling of 635976 in words is "six hundred thirty-five thousand, nine hundred seventy-six".