1532947360 has 288 divisors, whose sum is σ = 4560857280. Its totient is φ = 483840000.

The previous prime is 1532947349. The next prime is 1532947373. The reversal of 1532947360 is 637492351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6107235 + ... + 6107485.

It is an arithmetic number, because the mean of its divisors is an integer number (15836310).

Almost surely, 2^1532947360 is an apocalyptic number.

1532947360 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 1532947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280428640).

1532947360 is an abundant number, since it is smaller than the sum of its proper divisors (3027909920).

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

1532947360 is a wasteful number, since it uses less digits than its factorization.

1532947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 1532947360 is about 39152.8716699044. The cubic root of 1532947360 is about 1153.0347971195.

The spelling of 1532947360 in words is "one billion, five hundred thirty-two million, nine hundred forty-seven thousand, three hundred sixty".