1020342240 has 144 divisors (see below), whose sum is σ = 3524281488. Its totient is φ = 268781568.

The previous prime is 1020342233. The next prime is 1020342241. The reversal of 1020342240 is 422430201.

1020342240 is a `hidden beast` number, since 1 + 0 + 203 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020342241) 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, 115252 + ... + 123788.

It is an arithmetic number, because the mean of its divisors is an integer number (24474177).

Almost surely, 2^1020342240 is an apocalyptic number.

1020342240 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 1020342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762140744).

1020342240 is an abundant number, since it is smaller than the sum of its proper divisors (2503939248).

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

1020342240 is a wasteful number, since it uses less digits than its factorization.

1020342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8641 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1020342240 is about 31942.7963710130. The cubic root of 1020342240 is about 1006.7352808126.

Adding to 1020342240 its reverse (422430201), we get a palindrome (1442772441).

The spelling of 1020342240 in words is "one billion, twenty million, three hundred forty-two thousand, two hundred forty".