36768690 has 48 divisors (see below), whose sum is σ = 109257408. Its totient is φ = 8404128.

The previous prime is 36768689. The next prime is 36768701. The reversal of 36768690 is 9686763.

It is a super-2 number, since 2×36768690² = 2703873128632200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 28552 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (2276196).

Almost surely, 2^36768690 is an apocalyptic number.

36768690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36768690 is an abundant number, since it is smaller than the sum of its proper divisors (72488718).

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

36768690 is a wasteful number, since it uses less digits than its factorization.

36768690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58383 (or 58380 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 36768690 is about 6063.7191557657. The cubic root of 36768690 is about 332.5263400845.

The spelling of 36768690 in words is "thirty-six million, seven hundred sixty-eight thousand, six hundred ninety".