1540270368 has 144 divisors (see below), whose sum is σ = 5391038016. Its totient is φ = 406218240.

The previous prime is 1540270367. The next prime is 1540270387. The reversal of 1540270368 is 8630720451.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1540270367) 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, 3178 + ... + 55593.

It is an arithmetic number, because the mean of its divisors is an integer number (37437764).

Almost surely, 2^1540270368 is an apocalyptic number.

1540270368 is a gapful number since it is divisible by the number (18) 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 1540270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695519008).

1540270368 is an abundant number, since it is smaller than the sum of its proper divisors (3850767648).

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

1540270368 is a wasteful number, since it uses less digits than its factorization.

1540270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58807 (or 58796 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1540270368 is about 39246.2783968111. The cubic root of 1540270368 is about 1154.8679266533.

The spelling of 1540270368 in words is "one billion, five hundred forty million, two hundred seventy thousand, three hundred sixty-eight".