973142016 has 384 divisors, whose sum is σ = 3453166080. Its totient is φ = 237895680.

The previous prime is 973141997. The next prime is 973142017. The reversal of 973142016 is 610241379.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973142017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57243640 + ... + 57243656.

It is an arithmetic number, because the mean of its divisors is an integer number (8992620).

Almost surely, 2^973142016 is an apocalyptic number.

973142016 is a gapful number since it is divisible by the number (96) 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 973142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726583040).

973142016 is an abundant number, since it is smaller than the sum of its proper divisors (2480024064).

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

973142016 is a wasteful number, since it uses less digits than its factorization.

973142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 973142016 is about 31195.2242498752. The cubic root of 973142016 is about 990.9659707490.

The spelling of 973142016 in words is "nine hundred seventy-three million, one hundred forty-two thousand, sixteen".