971542080 has 224 divisors, whose sum is σ = 3577132800. Its totient is φ = 247762944.

The previous prime is 971542049. The next prime is 971542081. The reversal of 971542080 is 80245179.

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

It is not an unprimeable number, because it can be changed into a prime (971542081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196276 + ... + 201164.

Almost surely, 2^971542080 is an apocalyptic number.

971542080 is a gapful number since it is divisible by the number (90) 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 971542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788566400).

971542080 is an abundant number, since it is smaller than the sum of its proper divisors (2605590720).

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

971542080 is a wasteful number, since it uses less digits than its factorization.

971542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 971542080 is about 31169.5697756642. The cubic root of 971542080 is about 990.4225927722.

The spelling of 971542080 in words is "nine hundred seventy-one million, five hundred forty-two thousand, eighty".