1971060480 has 216 divisors, whose sum is σ = 7073360112. Its totient is φ = 525533184.

The previous prime is 1971060391. The next prime is 1971060491. The reversal of 1971060480 is 840601791.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307872 + ... + 314208.

Almost surely, 2^1971060480 is an apocalyptic number.

1971060480 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 1971060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536680056).

1971060480 is an abundant number, since it is smaller than the sum of its proper divisors (5102299632).

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

1971060480 is an frugal number, since it uses more digits than its factorization.

1971060480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1971060480 is about 44396.6268988985. The cubic root of 1971060480 is about 1253.8145830569.

The spelling of 1971060480 in words is "one billion, nine hundred seventy-one million, sixty thousand, four hundred eighty".