1023214320 has 120 divisors (see below), whose sum is σ = 3479985600. Its totient is φ = 269388288.

The previous prime is 1023214273. The next prime is 1023214321. The reversal of 1023214320 is 234123201.

1023214320 is a `hidden beast` number, since 1 + 0 + 232 + 1 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023214293 and 1023214302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023214321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47886 + ... + 65874.

It is an arithmetic number, because the mean of its divisors is an integer number (28999880).

Almost surely, 2^1023214320 is an apocalyptic number.

1023214320 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 1023214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739992800).

1023214320 is an abundant number, since it is smaller than the sum of its proper divisors (2456771280).

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

1023214320 is a wasteful number, since it uses less digits than its factorization.

1023214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18087 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023214320 is about 31987.7213943100. The cubic root of 1023214320 is about 1007.6789888614.

Adding to 1023214320 its reverse (234123201), we get a palindrome (1257337521).

The spelling of 1023214320 in words is "one billion, twenty-three million, two hundred fourteen thousand, three hundred twenty".