1073214000 has 240 divisors, whose sum is σ = 3789683040. Its totient is φ = 283046400.

The previous prime is 1073213957. The next prime is 1073214001. The reversal of 1073214000 is 4123701.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1073214001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1961727 + ... + 1962273.

It is an arithmetic number, because the mean of its divisors is an integer number (15790346).

Almost surely, 2^1073214000 is an apocalyptic number.

1073214000 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 1073214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894841520).

1073214000 is an abundant number, since it is smaller than the sum of its proper divisors (2716469040).

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

1073214000 is a wasteful number, since it uses less digits than its factorization.

1073214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1073214000 is about 32759.9450548990. The cubic root of 1073214000 is about 1023.8321817678.

Adding to 1073214000 its reverse (4123701), we get a palindrome (1077337701).

The spelling of 1073214000 in words is "one billion, seventy-three million, two hundred fourteen thousand".