973566540 has 480 divisors, whose sum is σ = 3556586880. Its totient is φ = 221405184.

The previous prime is 973566521. The next prime is 973566541. The reversal of 973566540 is 45665379.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973566541) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18369154 + ... + 18369206.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556).

Almost surely, 2^973566540 is an apocalyptic number.

973566540 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 973566540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778293440).

973566540 is an abundant number, since it is smaller than the sum of its proper divisors (2583020340).

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

973566540 is a wasteful number, since it uses less digits than its factorization.

973566540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 973566540 is about 31202.0278187172. The cubic root of 973566540 is about 991.1100496439.

The spelling of 973566540 in words is "nine hundred seventy-three million, five hundred sixty-six thousand, five hundred forty".