36005040 has 160 divisors (see below), whose sum is σ = 126182400. Its totient is φ = 9434880.

The previous prime is 36005029. The next prime is 36005069. The reversal of 36005040 is 4050063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170535 + ... + 170745.

It is an arithmetic number, because the mean of its divisors is an integer number (788640).

Almost surely, 2^36005040 is an apocalyptic number.

36005040 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 36005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63091200).

36005040 is an abundant number, since it is smaller than the sum of its proper divisors (90177360).

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

36005040 is a wasteful number, since it uses less digits than its factorization.

36005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36005040 is about 6000.4199853010. The cubic root of 36005040 is about 330.2081331643.

The spelling of 36005040 in words is "thirty-six million, five thousand, forty".