972607104 has 192 divisors, whose sum is σ = 3309696000. Its totient is φ = 268240896.

The previous prime is 972607087. The next prime is 972607147. The reversal of 972607104 is 401706279.

It is a happy number.

972607104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231777 + ... + 235935.

It is an arithmetic number, because the mean of its divisors is an integer number (17238000).

Almost surely, 2^972607104 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 972607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654848000).

972607104 is an abundant number, since it is smaller than the sum of its proper divisors (2337088896).

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

972607104 is a wasteful number, since it uses less digits than its factorization.

972607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 972607104 is about 31186.6494513277. The cubic root of 972607104 is about 990.7843676756.

The spelling of 972607104 in words is "nine hundred seventy-two million, six hundred seven thousand, one hundred four".