1002114324 has 108 divisors (see below), whose sum is σ = 2679397812. Its totient is φ = 315744000.

The previous prime is 1002114271. The next prime is 1002114349. The reversal of 1002114324 is 4234112001.

It can be written as a sum of positive squares in 2 ways, for example, as 680270724 + 321843600 = 26082^2 + 17940^2 .

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 = 1002114297 and 1002114306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1923184 + ... + 1923704.

It is an arithmetic number, because the mean of its divisors is an integer number (24809239).

Almost surely, 2^1002114324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339698906).

1002114324 is an abundant number, since it is smaller than the sum of its proper divisors (1677283488).

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

1002114324 is a wasteful number, since it uses less digits than its factorization.

1002114324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1002114324 is about 31656.1893474246. The cubic root of 1002114324 is about 1000.7042785420.

Adding to 1002114324 its reverse (4234112001), we get a palindrome (5236226325).

The spelling of 1002114324 in words is "one billion, two million, one hundred fourteen thousand, three hundred twenty-four".