1009023600 has 240 divisors, whose sum is σ = 3533773824. Its totient is φ = 244608000.

The previous prime is 1009023569. The next prime is 1009023637. The reversal of 1009023600 is 63209001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107145 + ... + 1108055.

Almost surely, 2^1009023600 is an apocalyptic number.

1009023600 is a gapful number since it is divisible by the number (10) 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 1009023600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766886912).

1009023600 is an abundant number, since it is smaller than the sum of its proper divisors (2524750224).

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

1009023600 is a wasteful number, since it uses less digits than its factorization.

1009023600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1009023600 is about 31765.1318272095. The cubic root of 1009023600 is about 1002.9988644887.

The spelling of 1009023600 in words is "one billion, nine million, twenty-three thousand, six hundred".