971366760 has 384 divisors, whose sum is σ = 3931200000. Its totient is φ = 202549248.

The previous prime is 971366729. The next prime is 971366771. The reversal of 971366760 is 67663179.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4881141 + ... + 4881339.

It is an arithmetic number, because the mean of its divisors is an integer number (10237500).

Almost surely, 2^971366760 is an apocalyptic number.

971366760 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 971366760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600000).

971366760 is an abundant number, since it is smaller than the sum of its proper divisors (2959833240).

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

971366760 is a wasteful number, since it uses less digits than its factorization.

971366760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 971366760 is about 31166.7572904208. The cubic root of 971366760 is about 990.3630134915.

The spelling of 971366760 in words is "nine hundred seventy-one million, three hundred sixty-six thousand, seven hundred sixty".