1002193920 has 528 divisors, whose sum is σ = 4291822080. Its totient is φ = 210567168.

The previous prime is 1002193909. The next prime is 1002193937. The reversal of 1002193920 is 293912001.

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, 4193161 + ... + 4193399.

Almost surely, 2^1002193920 is an apocalyptic number.

1002193920 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 1002193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145911040).

1002193920 is an abundant number, since it is smaller than the sum of its proper divisors (3289628160).

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

1002193920 is a wasteful number, since it uses less digits than its factorization.

1002193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1002193920 is about 31657.4465173678. The cubic root of 1002193920 is about 1000.7307725081.

The spelling of 1002193920 in words is "one billion, two million, one hundred ninety-three thousand, nine hundred twenty".