36067440 has 80 divisors (see below), whose sum is σ = 113528448. Its totient is φ = 9470208.

The previous prime is 36067433. The next prime is 36067441. The reversal of 36067440 is 4476063.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 36067398 and 36067407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36067441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14959 + ... + 17201.

Almost surely, 2^36067440 is an apocalyptic number.

36067440 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 36067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56764224).

36067440 is an abundant number, since it is smaller than the sum of its proper divisors (77461008).

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

36067440 is a wasteful number, since it uses less digits than its factorization.

36067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 36067440 is about 6005.6173704291. The cubic root of 36067440 is about 330.3987832836.

The spelling of 36067440 in words is "thirty-six million, sixty-seven thousand, four hundred forty".