973514880 has 192 divisors, whose sum is σ = 3620536920. Its totient is φ = 239616000.

The previous prime is 973514879. The next prime is 973514887. The reversal of 973514880 is 88415379.

It can be written as a sum of positive squares in 4 ways, for example, as 287913024 + 685601856 = 16968^2 + 26184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (973514887) 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, 68380 + ... + 81380.

Almost surely, 2^973514880 is an apocalyptic number.

973514880 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 973514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810268460).

973514880 is an abundant number, since it is smaller than the sum of its proper divisors (2647022040).

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

973514880 is a wasteful number, since it uses less digits than its factorization.

973514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13039 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 973514880 is about 31201.1999769240. The cubic root of 973514880 is about 991.0925190322.

The spelling of 973514880 in words is "nine hundred seventy-three million, five hundred fourteen thousand, eight hundred eighty".