36827040 has 96 divisors (see below), whose sum is σ = 117706176. Its totient is φ = 9676800.

The previous prime is 36827027. The next prime is 36827047. The reversal of 36827040 is 4072863.

36827040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 36826989 and 36827007.

It is not an unprimeable number, because it can be changed into a prime (36827047) 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 15 ways as a sum of consecutive naturals, for example, 34515 + ... + 35565.

It is an arithmetic number, because the mean of its divisors is an integer number (1226106).

Almost surely, 2^36827040 is an apocalyptic number.

36827040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36827040 is the 3504-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58853088).

36827040 is an abundant number, since it is smaller than the sum of its proper divisors (80879136).

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

36827040 is a wasteful number, since it uses less digits than its factorization.

36827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 36827040 is about 6068.5286519881. The cubic root of 36827040 is about 332.7021477910.

The spelling of 36827040 in words is "thirty-six million, eight hundred twenty-seven thousand, forty".