973476560 has 80 divisors (see below), whose sum is σ = 2600357376. Its totient is φ = 331997184.

The previous prime is 973476547. The next prime is 973476583. The reversal of 973476560 is 65674379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×973476560² = 1895313225738867200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 103577 + ... + 112583.

Almost surely, 2^973476560 is an apocalyptic number.

973476560 is the 18014-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300178688).

973476560 is an abundant number, since it is smaller than the sum of its proper divisors (1626880816).

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

973476560 is a wasteful number, since it uses less digits than its factorization.

973476560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 47.

The square root of 973476560 is about 31200.5858919348. The cubic root of 973476560 is about 991.0795148949.

The spelling of 973476560 in words is "nine hundred seventy-three million, four hundred seventy-six thousand, five hundred sixty".