1540688796 has 144 divisors (see below), whose sum is σ = 4318406400. Its totient is φ = 474701472.

The previous prime is 1540688791. The next prime is 1540688803. The reversal of 1540688796 is 6978860451.

1540688796 is a `hidden beast` number, since 1 + 540 + 6 + 8 + 8 + 7 + 96 = 666.

It is a super-2 number, since 2×1540688796² = 4747443932239859232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540688791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676025 + ... + 1676943.

Almost surely, 2^1540688796 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 1540688796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159203200).

1540688796 is an abundant number, since it is smaller than the sum of its proper divisors (2777717604).

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

1540688796 is a wasteful number, since it uses less digits than its factorization.

1540688796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1540688796 is about 39251.6088332695. The cubic root of 1540688796 is about 1154.9724938634.

The spelling of 1540688796 in words is "one billion, five hundred forty million, six hundred eighty-eight thousand, seven hundred ninety-six".