36611040 has 96 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 9641984.

The previous prime is 36611039. The next prime is 36611059. The reversal of 36611040 is 4011663.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36610998 and 36611016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42292 + ... + 43148.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 2^36611040 is an apocalyptic number.

36611040 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 36611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

36611040 is an abundant number, since it is smaller than the sum of its proper divisors (80145600).

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

36611040 is a wasteful number, since it uses less digits than its factorization.

36611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 36611040 is about 6050.7057439608. The cubic root of 36611040 is about 332.0504108869.

The spelling of 36611040 in words is "thirty-six million, six hundred eleven thousand, forty".