36906112 has 32 divisors (see below), whose sum is σ = 73816380. Its totient is φ = 18379776.

The previous prime is 36906101. The next prime is 36906127. The reversal of 36906112 is 21160963.

It can be written as a sum of positive squares in 2 ways, for example, as 34762816 + 2143296 = 5896^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×36906112² = 2724122205913088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47358 + ... + 48130.

Almost surely, 2^36906112 is an apocalyptic number.

36906112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36906112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

36906112 is an equidigital number, since it uses as much as digits as its factorization.

36906112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 36906112 is about 6075.0400821723. The cubic root of 36906112 is about 332.9400944943.

The spelling of 36906112 in words is "thirty-six million, nine hundred six thousand, one hundred twelve".