1023214000 has 80 divisors (see below), whose sum is σ = 2514990816. Its totient is φ = 402528000.

The previous prime is 1023213979. The next prime is 1023214009. The reversal of 1023214000 is 4123201.

1023214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1023214009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117807 + ... + 126193.

Almost surely, 2^1023214000 is an apocalyptic number.

1023214000 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 1023214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257495408).

1023214000 is an abundant number, since it is smaller than the sum of its proper divisors (1491776816).

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

1023214000 is an equidigital number, since it uses as much as digits as its factorization.

1023214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1023214000 is about 31987.7163923904. The cubic root of 1023214000 is about 1007.6788838142.

Adding to 1023214000 its reverse (4123201), we get a palindrome (1027337201).

The spelling of 1023214000 in words is "one billion, twenty-three million, two hundred fourteen thousand".