1023242000 has 80 divisors (see below), whose sum is σ = 2699184384. Its totient is φ = 372080000.

The previous prime is 1023241997. The next prime is 1023242021. The reversal of 1023242000 is 2423201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256 + ... + 45255.

Almost surely, 2^1023242000 is an apocalyptic number.

1023242000 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 1023242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349592192).

1023242000 is an abundant number, since it is smaller than the sum of its proper divisors (1675942384).

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

1023242000 is a wasteful number, since it uses less digits than its factorization.

1023242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46545 (or 46529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1023242000 is about 31988.1540574007. The cubic root of 1023242000 is about 1007.6880753589.

Adding to 1023242000 its reverse (2423201), we get a palindrome (1025665201).

The spelling of 1023242000 in words is "one billion, twenty-three million, two hundred forty-two thousand".