36126816 has 48 divisors (see below), whose sum is σ = 103457088. Its totient is φ = 10947200.

The previous prime is 36126757. The next prime is 36126817. The reversal of 36126816 is 61862163.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36126817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16050 + ... + 18161.

It is an arithmetic number, because the mean of its divisors is an integer number (2155356).

Almost surely, 2^36126816 is an apocalyptic number.

It is an amenable number.

36126816 is an abundant number, since it is smaller than the sum of its proper divisors (67330272).

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

36126816 is a wasteful number, since it uses less digits than its factorization.

36126816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34235 (or 34227 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 36126816 is about 6010.5587094712. The cubic root of 36126816 is about 330.5799901445.

Adding to 36126816 its reverse (61862163), we get a palindrome (97988979).

The spelling of 36126816 in words is "thirty-six million, one hundred twenty-six thousand, eight hundred sixteen".