36662970 has 64 divisors (see below), whose sum is σ = 93519360. Its totient is φ = 9172800.

The previous prime is 36662947. The next prime is 36662971. The reversal of 36662970 is 7926663.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (36662971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74425 + ... + 74915.

It is an arithmetic number, because the mean of its divisors is an integer number (1461240).

Almost surely, 2^36662970 is an apocalyptic number.

36662970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36662970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46759680).

36662970 is an abundant number, since it is smaller than the sum of its proper divisors (56856390).

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

36662970 is a wasteful number, since it uses less digits than its factorization.

36662970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 36662970 is about 6054.9954582972. The cubic root of 36662970 is about 332.2073328740.

It can be divided in two parts, 366 and 62970, that added together give a palindrome (63336).

The spelling of 36662970 in words is "thirty-six million, six hundred sixty-two thousand, nine hundred seventy".