1971256320 has 264 divisors, whose sum is σ = 7453208880. Its totient is φ = 477757440.

The previous prime is 1971256291. The next prime is 1971256321. The reversal of 1971256320 is 236521791.

1971256320 is a `hidden beast` number, since 1 + 9 + 7 + 12 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971256321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 504936 + ... + 508824.

Almost surely, 2^1971256320 is an apocalyptic number.

1971256320 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 1971256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726604440).

1971256320 is an abundant number, since it is smaller than the sum of its proper divisors (5481952560).

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

1971256320 is a wasteful number, since it uses less digits than its factorization.

1971256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1971256320 is about 44398.8324170805. The cubic root of 1971256320 is about 1253.8561070518.

The spelling of 1971256320 in words is "one billion, nine hundred seventy-one million, two hundred fifty-six thousand, three hundred twenty".