36599040 has 180 divisors, whose sum is σ = 131329044. Its totient is φ = 9732096.

The previous prime is 36599027. The next prime is 36599047. The reversal of 36599040 is 4099563.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 22581504 = 3744^2 + 4752^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 36598986 and 36599004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36599047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103504 + ... + 103856.

Almost surely, 2^36599040 is an apocalyptic number.

36599040 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 36599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664522).

36599040 is an abundant number, since it is smaller than the sum of its proper divisors (94730004).

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

36599040 is an equidigital number, since it uses as much as digits as its factorization.

36599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36599040 is about 6049.7140428288. The cubic root of 36599040 is about 332.0141282031.

It can be divided in two parts, 36 and 599040, that added together give a square (599076 = 774²).

The spelling of 36599040 in words is "thirty-six million, five hundred ninety-nine thousand, forty".