36663000 has 192 divisors, whose sum is σ = 126977760. Its totient is φ = 8800000.

The previous prime is 36662971. The next prime is 36663007. The reversal of 36663000 is 36663.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36663007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362950 + ... + 363050.

Almost surely, 2^36663000 is an apocalyptic number.

36663000 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 36663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

36663000 is an abundant number, since it is smaller than the sum of its proper divisors (90314760).

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

36663000 is a wasteful number, since it uses less digits than its factorization.

36663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 36663000 is about 6054.9979355901. The cubic root of 36663000 is about 332.2074234851.

Adding to 36663000 its reverse (36663), we get a palindrome (36699663).

36663000 divided by its reverse (36663) gives a cube (1000 = 10³).

It can be divided in two parts, 3666 and 3000, that added together give a palindrome (6666).

The spelling of 36663000 in words is "thirty-six million, six hundred sixty-three thousand".