1023282720 has 336 divisors, whose sum is σ = 3754743552. Its totient is φ = 263139840.

The previous prime is 1023282709. The next prime is 1023282737. The reversal of 1023282720 is 272823201.

It is a happy number.

1023282720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3615699 + ... + 3615981.

It is an arithmetic number, because the mean of its divisors is an integer number (11174832).

Almost surely, 2^1023282720 is an apocalyptic number.

1023282720 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 1023282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877371776).

1023282720 is an abundant number, since it is smaller than the sum of its proper divisors (2731460832).

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

1023282720 is an equidigital number, since it uses as much as digits as its factorization.

1023282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1023282720 is about 31988.7905366864. The cubic root of 1023282720 is about 1007.7014421916.

The spelling of 1023282720 in words is "one billion, twenty-three million, two hundred eighty-two thousand, seven hundred twenty".