1534116240 has 320 divisors, whose sum is σ = 5758560000. Its totient is φ = 373911552.

The previous prime is 1534116239. The next prime is 1534116257. The reversal of 1534116240 is 426114351.

It is a happy number.

1534116240 is a `hidden beast` number, since 1 + 5 + 3 + 411 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1189516 + ... + 1190804.

It is an arithmetic number, because the mean of its divisors is an integer number (17995500).

Almost surely, 2^1534116240 is an apocalyptic number.

1534116240 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 1534116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879280000).

1534116240 is an abundant number, since it is smaller than the sum of its proper divisors (4224443760).

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

1534116240 is a wasteful number, since it uses less digits than its factorization.

1534116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1534116240 is about 39167.7959553509. The cubic root of 1534116240 is about 1153.3277875892.

The spelling of 1534116240 in words is "one billion, five hundred thirty-four million, one hundred sixteen thousand, two hundred forty".