36668940 has 96 divisors (see below), whose sum is σ = 128024064. Its totient is φ = 7618560.

The previous prime is 36668909. The next prime is 36668953. The reversal of 36668940 is 4986663.

36668940 = T₁₆₈ + T₁₆₉ + ... + T₆₀₇.

It is a super-2 number, since 2×36668940² = 2689222321447200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36668892 and 36668901.

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 31 ways as a sum of consecutive naturals, for example, 652 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 2^36668940 is an apocalyptic number.

36668940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36668940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

36668940 is an abundant number, since it is smaller than the sum of its proper divisors (91355124).

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

36668940 is a wasteful number, since it uses less digits than its factorization.

36668940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 36668940 is about 6055.4884196075. The cubic root of 36668940 is about 332.2253635113.

The spelling of 36668940 in words is "thirty-six million, six hundred sixty-eight thousand, nine hundred forty".