1362106240 has 128 divisors (see below), whose sum is σ = 3577115520. Its totient is φ = 491857920.

The previous prime is 1362106237. The next prime is 1362106243. The reversal of 1362106240 is 426012631.

It is an interprime number because it is at equal distance from previous prime (1362106237) and next prime (1362106243).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362106243) 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, 1146927 + ... + 1148113.

It is an arithmetic number, because the mean of its divisors is an integer number (27946215).

Almost surely, 2^1362106240 is an apocalyptic number.

1362106240 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 1362106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788557760).

1362106240 is an abundant number, since it is smaller than the sum of its proper divisors (2215009280).

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

1362106240 is a wasteful number, since it uses less digits than its factorization.

1362106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1362106240 is about 36906.7235067000. The cubic root of 1362106240 is about 1108.5033097640.

Adding to 1362106240 its reverse (426012631), we get a palindrome (1788118871).

The spelling of 1362106240 in words is "one billion, three hundred sixty-two million, one hundred six thousand, two hundred forty".