36825840 has 100 divisors (see below), whose sum is σ = 127924104. Its totient is φ = 9818496.

The previous prime is 36825827. The next prime is 36825847. The reversal of 36825840 is 4852863.

36825840 is a `hidden beast` number, since 368 + 258 + 40 = 666.

36825840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36825840² = 2712284983411200, 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 = 36825795 and 36825804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36825847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3639 + ... + 9321.

Almost surely, 2^36825840 is an apocalyptic number.

36825840 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 36825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63962052).

36825840 is an abundant number, since it is smaller than the sum of its proper divisors (91098264).

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

36825840 is a wasteful number, since it uses less digits than its factorization.

36825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5708 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 36825840 is about 6068.4297804292. The cubic root of 36825840 is about 332.6985340794.

The spelling of 36825840 in words is "thirty-six million, eight hundred twenty-five thousand, eight hundred forty".