1532621440 has 128 divisors (see below), whose sum is σ = 4215945600. Its totient is φ = 521883648.

The previous prime is 1532621429. The next prime is 1532621471. The reversal of 1532621440 is 441262351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1532621399 and 1532621408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702271 + ... + 704449.

It is an arithmetic number, because the mean of its divisors is an integer number (32937075).

Almost surely, 2^1532621440 is an apocalyptic number.

1532621440 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 1532621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107972800).

1532621440 is an abundant number, since it is smaller than the sum of its proper divisors (2683324160).

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

1532621440 is a wasteful number, since it uses less digits than its factorization.

1532621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1532621440 is about 39148.7093018403. The cubic root of 1532621440 is about 1152.9530757361.

Adding to 1532621440 its reverse (441262351), we get a palindrome (1973883791).

The spelling of 1532621440 in words is "one billion, five hundred thirty-two million, six hundred twenty-one thousand, four hundred forty".