1540788336 has 120 divisors (see below), whose sum is σ = 4689391824. Its totient is φ = 470292480.

The previous prime is 1540788313. The next prime is 1540788367. The reversal of 1540788336 is 6338870451.

1540788336 is a `hidden beast` number, since 1 + 540 + 78 + 8 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1540788291 and 1540788300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82071 + ... + 99081.

Almost surely, 2^1540788336 is an apocalyptic number.

1540788336 is a gapful number since it is divisible by the number (16) 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 1540788336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344695912).

1540788336 is an abundant number, since it is smaller than the sum of its proper divisors (3148603488).

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

1540788336 is a wasteful number, since it uses less digits than its factorization.

1540788336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17079 (or 17070 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1540788336 is about 39252.8767862943. The cubic root of 1540788336 is about 1154.9973666101.

The spelling of 1540788336 in words is "one billion, five hundred forty million, seven hundred eighty-eight thousand, three hundred thirty-six".