1540085760 has 288 divisors, whose sum is σ = 5657389920. Its totient is φ = 386138112.

The previous prime is 1540085653. The next prime is 1540085761. The reversal of 1540085760 is 675800451.

1540085760 is a `hidden beast` number, since 1 + 540 + 0 + 8 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540085761) 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, 1566229 + ... + 1567211.

It is an arithmetic number, because the mean of its divisors is an integer number (19643715).

Almost surely, 2^1540085760 is an apocalyptic number.

1540085760 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 1540085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828694960).

1540085760 is an abundant number, since it is smaller than the sum of its proper divisors (4117304160).

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

1540085760 is a wasteful number, since it uses less digits than its factorization.

1540085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1540085760 is about 39243.9264090636. The cubic root of 1540085760 is about 1154.8217861876.

The spelling of 1540085760 in words is "one billion, five hundred forty million, eighty-five thousand, seven hundred sixty".