63009000 has 96 divisors (see below), whose sum is σ = 213000840. Its totient is φ = 16800000.

The previous prime is 63008993. The next prime is 63009043. The reversal of 63009000 is 90036.

It can be written as a sum of positive squares in 4 ways, for example, as 16305444 + 46703556 = 4038^2 + 6834^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5500 + ... + 12500.

Almost surely, 2^63009000 is an apocalyptic number.

63009000 is a gapful number since it is divisible by the number (60) 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 63009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106500420).

63009000 is an abundant number, since it is smaller than the sum of its proper divisors (149991840).

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

63009000 is a wasteful number, since it uses less digits than its factorization.

63009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 63009000 is about 7937.8208596566. The cubic root of 63009000 is about 397.9246677789.

Adding to 63009000 its reverse (90036), we get a palindrome (63099036).

The spelling of 63009000 in words is "sixty-three million, nine thousand".