971520000 has 480 divisors, whose sum is σ = 3684320640. Its totient is φ = 225280000.

The previous prime is 971519987. The next prime is 971520013. The reversal of 971520000 is 25179.

It is an interprime number because it is at equal distance from previous prime (971519987) and next prime (971520013).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×971520000² = 1887702220800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 42239989 + ... + 42240011.

It is an arithmetic number, because the mean of its divisors is an integer number (7675668).

Almost surely, 2^971520000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842160320).

971520000 is an abundant number, since it is smaller than the sum of its proper divisors (2712800640).

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

971520000 is a wasteful number, since it uses less digits than its factorization.

971520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 971520000 is about 31169.2155820451. The cubic root of 971520000 is about 990.4150896844.

Adding to 971520000 its reverse (25179), we get a palindrome (971545179).

The spelling of 971520000 in words is "nine hundred seventy-one million, five hundred twenty thousand".