9006420600 has 144 divisors (see below), whose sum is σ = 30286030320. Its totient is φ = 2398579200.

The previous prime is 9006420559. The next prime is 9006420611. The reversal of 9006420600 is 60246009.

It is a super-2 number, since 2×9006420600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1593780 + ... + 1599420.

It is an arithmetic number, because the mean of its divisors is an integer number (210319655).

Almost surely, 2^9006420600 is an apocalyptic number.

9006420600 is a gapful number since it is divisible by the number (90) 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 9006420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143015160).

9006420600 is an abundant number, since it is smaller than the sum of its proper divisors (21279609720).

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

9006420600 is a wasteful number, since it uses less digits than its factorization.

9006420600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9006420600 is about 94902.1633051639. The cubic root of 9006420600 is about 2080.5783494053.

Adding to 9006420600 its reverse (60246009), we get a palindrome (9066666609).

The spelling of 9006420600 in words is "nine billion, six million, four hundred twenty thousand, six hundred".