1540661760 has 240 divisors, whose sum is σ = 5821770240. Its totient is φ = 373432320.

The previous prime is 1540661753. The next prime is 1540661779. The reversal of 1540661760 is 671660451.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 250401 + ... + 256479.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 2^1540661760 is an apocalyptic number.

1540661760 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 1540661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910885120).

1540661760 is an abundant number, since it is smaller than the sum of its proper divisors (4281108480).

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

1540661760 is a wasteful number, since it uses less digits than its factorization.

1540661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1540661760 is about 39251.2644382318. The cubic root of 1540661760 is about 1154.9657380065.

The spelling of 1540661760 in words is "one billion, five hundred forty million, six hundred sixty-one thousand, seven hundred sixty".