973540240 has 80 divisors (see below), whose sum is σ = 2388597120. Its totient is φ = 367994880.

The previous prime is 973540177. The next prime is 973540273. The reversal of 973540240 is 42045379.

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

It is a junction number, because it is equal to n+sod(n) for n = 973540196 and 973540205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104600 + ... + 1105480.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 2^973540240 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 973540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194298560).

973540240 is an abundant number, since it is smaller than the sum of its proper divisors (1415056880).

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

973540240 is a wasteful number, since it uses less digits than its factorization.

With its successor (973540241) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1640).

973540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 973540240 is about 31201.6063689035. The cubic root of 973540240 is about 991.1011249229.

The spelling of 973540240 in words is "nine hundred seventy-three million, five hundred forty thousand, two hundred forty".