36607312 has 60 divisors (see below), whose sum is σ = 84158676. Its totient is φ = 15375360.

The previous prime is 36607297. The next prime is 36607327. The reversal of 36607312 is 21370663.

It is an interprime number because it is at equal distance from previous prime (36607297) and next prime (36607327).

It can be written as a sum of positive squares in 2 ways, for example, as 16032016 + 20575296 = 4004^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 41112 + ... + 41992.

Almost surely, 2^36607312 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 36607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42079338).

36607312 is an abundant number, since it is smaller than the sum of its proper divisors (47551364).

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

36607312 is a wasteful number, since it uses less digits than its factorization.

36607312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 36607312 is about 6050.3976728807. The cubic root of 36607312 is about 332.0391399155.

Adding to 36607312 its reverse (21370663), we get a palindrome (57977975).

The spelling of 36607312 in words is "thirty-six million, six hundred seven thousand, three hundred twelve".