1534913640 has 192 divisors, whose sum is σ = 5409003600. Its totient is φ = 375238656.

The previous prime is 1534913623. The next prime is 1534913647. The reversal of 1534913640 is 463194351.

1534913640 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 9 + 1 + 3 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 531671364 + 1003242276 = 23058^2 + 31674^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1534913595 and 1534913604.

It is not an unprimeable number, because it can be changed into a prime (1534913647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733716 + ... + 735804.

Almost surely, 2^1534913640 is an apocalyptic number.

1534913640 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 1534913640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704501800).

1534913640 is an abundant number, since it is smaller than the sum of its proper divisors (3874089960).

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

1534913640 is a wasteful number, since it uses less digits than its factorization.

1534913640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1534913640 is about 39177.9739139226. The cubic root of 1534913640 is about 1153.5275778136.

The spelling of 1534913640 in words is "one billion, five hundred thirty-four million, nine hundred thirteen thousand, six hundred forty".