1540612560 has 80 divisors (see below), whose sum is σ = 4781943936. Its totient is φ = 410310144.

The previous prime is 1540612553. The next prime is 1540612571. The reversal of 1540612560 is 652160451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 209262 + ... + 216498.

Almost surely, 2^1540612560 is an apocalyptic number.

1540612560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540612560 is an abundant number, since it is smaller than the sum of its proper divisors (3241331376).

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

1540612560 is a wasteful number, since it uses less digits than its factorization.

1540612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1540612560 is about 39250.6377018259. The cubic root of 1540612560 is about 1154.9534435236.

It can be divided in two parts, 15406 and 12560, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 1540612560 in words is "one billion, five hundred forty million, six hundred twelve thousand, five hundred sixty".