603972096 has 320 divisors, whose sum is σ = 2062368000. Its totient is φ = 152764416.

The previous prime is 603972037. The next prime is 603972113. The reversal of 603972096 is 690279306.

603972096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053430 + ... + 4053578.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^603972096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 603972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031184000).

603972096 is an abundant number, since it is smaller than the sum of its proper divisors (1458395904).

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

603972096 is a wasteful number, since it uses less digits than its factorization.

603972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 603972096 is about 24575.8437495033. The cubic root of 603972096 is about 845.2897928815.

The spelling of 603972096 in words is "six hundred three million, nine hundred seventy-two thousand, ninety-six".