971564800 has 216 divisors, whose sum is σ = 2554836480. Its totient is φ = 365260800.

The previous prime is 971564779. The next prime is 971564809. The reversal of 971564800 is 8465179.

It is a super-3 number, since 3×971564800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971564809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11705559 + ... + 11705641.

Almost surely, 2^971564800 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 971564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277418240).

971564800 is an abundant number, since it is smaller than the sum of its proper divisors (1583271680).

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

971564800 is a wasteful number, since it uses less digits than its factorization.

971564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 971564800 is about 31169.9342315636. The cubic root of 971564800 is about 990.4303132221.

The spelling of 971564800 in words is "nine hundred seventy-one million, five hundred sixty-four thousand, eight hundred".