36615040 has 128 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 11397120.

The previous prime is 36615017. The next prime is 36615043. The reversal of 36615040 is 4051663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×36615040² = 2681322308403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36614996 and 36615014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36615043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48909 + ... + 49651.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^36615040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

36615040 is an abundant number, since it is smaller than the sum of its proper divisors (72663680).

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

36615040 is a wasteful number, since it uses less digits than its factorization.

36615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 36615040 is about 6051.0362748871. The cubic root of 36615040 is about 332.0625033529.

The spelling of 36615040 in words is "thirty-six million, six hundred fifteen thousand, forty".