36667940 has 48 divisors (see below), whose sum is σ = 79866864. Its totient is φ = 14131200.

The previous prime is 36667931. The next prime is 36667951. The reversal of 36667940 is 4976663.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7529536 + 29138404 = 2744^2 + 5398^2 .

It is a Smith number, since the sum of its digits (41) 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 (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79310 + ... + 79770.

It is an arithmetic number, because the mean of its divisors is an integer number (1663893).

Almost surely, 2^36667940 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 36667940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39933432).

36667940 is an abundant number, since it is smaller than the sum of its proper divisors (43198924).

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

36667940 is a wasteful number, since it uses less digits than its factorization.

36667940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 36667940 is about 6055.4058493217. The cubic root of 36667940 is about 332.2223434405. Note that the first 3 decimals are identical.

The spelling of 36667940 in words is "thirty-six million, six hundred sixty-seven thousand, nine hundred forty".