1581651960 has 256 divisors, whose sum is σ = 5765299200. Its totient is φ = 339075072.

The previous prime is 1581651959. The next prime is 1581651989. The reversal of 1581651960 is 691561851.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1803042 + ... + 1803918.

It is an arithmetic number, because the mean of its divisors is an integer number (22520700).

Almost surely, 2^1581651960 is an apocalyptic number.

1581651960 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 1581651960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882649600).

1581651960 is an abundant number, since it is smaller than the sum of its proper divisors (4183647240).

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

1581651960 is a wasteful number, since it uses less digits than its factorization.

1581651960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 1581651960 is about 39769.9881820450. The cubic root of 1581651960 is about 1165.1190629049.

It can be divided in two parts, 15816 and 51960, that added together give a palindrome (67776).

The spelling of 1581651960 in words is "one billion, five hundred eighty-one million, six hundred fifty-one thousand, nine hundred sixty".