1023496320 has 768 divisors, whose sum is σ = 4420500480. Its totient is φ = 198696960.

The previous prime is 1023496291. The next prime is 1023496321. The reversal of 1023496320 is 236943201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023496321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23802219 + ... + 23802261.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2^1023496320 is an apocalyptic number.

1023496320 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 1023496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210250240).

1023496320 is an abundant number, since it is smaller than the sum of its proper divisors (3397004160).

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

1023496320 is a wasteful number, since it uses less digits than its factorization.

1023496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1023496320 is about 31992.1290319979. The cubic root of 1023496320 is about 1007.7715531684.

The spelling of 1023496320 in words is "one billion, twenty-three million, four hundred ninety-six thousand, three hundred twenty".