36635040 has 288 divisors, whose sum is σ = 143095680. Its totient is φ = 8460288.

The previous prime is 36635029. The next prime is 36635063. The reversal of 36635040 is 4053663.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 36634995 and 36635013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355629 + ... + 355731.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 2^36635040 is an apocalyptic number.

36635040 is a gapful number since it is divisible by the number (30) 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 36635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

36635040 is an abundant number, since it is smaller than the sum of its proper divisors (106460640).

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

36635040 is a wasteful number, since it uses less digits than its factorization.

36635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36635040 is about 6052.6886587698. The cubic root of 36635040 is about 332.1229524765.

The spelling of 36635040 in words is "thirty-six million, six hundred thirty-five thousand, forty".