1971634560 has 384 divisors, whose sum is σ = 7702387200. Its totient is φ = 426553344.

The previous prime is 1971634531. The next prime is 1971634591. The reversal of 1971634560 is 654361791.

It is a tau number, because it is divible by the number of its divisors (384).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786969 + ... + 1788071.

It is an arithmetic number, because the mean of its divisors is an integer number (20058300).

Almost surely, 2^1971634560 is an apocalyptic number.

1971634560 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 1971634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851193600).

1971634560 is an abundant number, since it is smaller than the sum of its proper divisors (5730752640).

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

1971634560 is a wasteful number, since it uses less digits than its factorization.

1971634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1971634560 is about 44403.0917842440. The cubic root of 1971634560 is about 1253.9362975711.

The spelling of 1971634560 in words is "one billion, nine hundred seventy-one million, six hundred thirty-four thousand, five hundred sixty".