10361736 has 192 divisors, whose sum is σ = 36936000. Its totient is φ = 2661120.

The previous prime is 10361723. The next prime is 10361737. The reversal of 10361736 is 63716301.

10361736 is a `hidden beast` number, since 10 + 3 + 617 + 36 = 666.

It is a super-3 number, since 3×10361736³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10361737) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 116380 + ... + 116468.

It is an arithmetic number, because the mean of its divisors is an integer number (192375).

Almost surely, 2^10361736 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 10361736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468000).

10361736 is an abundant number, since it is smaller than the sum of its proper divisors (26574264).

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

10361736 is a wasteful number, since it uses less digits than its factorization.

10361736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10361736 is about 3218.9650510684. The cubic root of 10361736 is about 218.0105485455.

It can be divided in two parts, 1036 and 1736, that added together give a palindrome (2772).

The spelling of 10361736 in words is "ten million, three hundred sixty-one thousand, seven hundred thirty-six".