1023027720 has 128 divisors (see below), whose sum is σ = 3605696640. Its totient is φ = 228925440.

The previous prime is 1023027703. The next prime is 1023027779. The reversal of 1023027720 is 277203201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12649 + ... + 46968.

It is an arithmetic number, because the mean of its divisors is an integer number (28169505).

Almost surely, 2^1023027720 is an apocalyptic number.

1023027720 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 1023027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802848320).

1023027720 is an abundant number, since it is smaller than the sum of its proper divisors (2582668920).

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

1023027720 is a wasteful number, since it uses less digits than its factorization.

1023027720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59655 (or 59651 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1023027720 is about 31984.8045171453. The cubic root of 1023027720 is about 1007.6177295120.

It can be divided in two parts, 10230 and 27720, that added together give a triangular number (37950 = T₂₇₅).

The spelling of 1023027720 in words is "one billion, twenty-three million, twenty-seven thousand, seven hundred twenty".