1362456540 has 144 divisors (see below), whose sum is σ = 4299029280. Its totient is φ = 348848640.

The previous prime is 1362456523. The next prime is 1362456553. The reversal of 1362456540 is 456542631.

1362456540 is a `hidden beast` number, since 1 + 3 + 62 + 4 + 56 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1362456495 and 1362456504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100802 + ... + 1102038.

It is an arithmetic number, because the mean of its divisors is an integer number (29854370).

Almost surely, 2^1362456540 is an apocalyptic number.

1362456540 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 1362456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149514640).

1362456540 is an abundant number, since it is smaller than the sum of its proper divisors (2936572740).

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

1362456540 is a wasteful number, since it uses less digits than its factorization.

1362456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1362456540 is about 36911.4689493659. The cubic root of 1362456540 is about 1108.5983281542.

The spelling of 1362456540 in words is "one billion, three hundred sixty-two million, four hundred fifty-six thousand, five hundred forty".