636546240 has 336 divisors, whose sum is σ = 2430694656. Its totient is φ = 151603200.

The previous prime is 636546199. The next prime is 636546241. The reversal of 636546240 is 42645636.

It is a super-2 number, since 2×636546240² = 810382231316275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 636546195 and 636546204.

It is not an unprimeable number, because it can be changed into a prime (636546241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249139 + ... + 2249421.

Almost surely, 2^636546240 is an apocalyptic number.

636546240 is a gapful number since it is divisible by the number (60) 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 636546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215347328).

636546240 is an abundant number, since it is smaller than the sum of its proper divisors (1794148416).

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

636546240 is a wasteful number, since it uses less digits than its factorization.

636546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 636546240 is about 25229.8680139235. The cubic root of 636546240 is about 860.2208915193.

The spelling of 636546240 in words is "six hundred thirty-six million, five hundred forty-six thousand, two hundred forty".