972627040 has 144 divisors (see below), whose sum is σ = 2886934176. Its totient is φ = 303114240.

The previous prime is 972627023. The next prime is 972627049. The reversal of 972627040 is 40726279.

It is a happy number.

972627040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972627049) 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, 131932 + ... + 139108.

It is an arithmetic number, because the mean of its divisors is an integer number (20048154).

Almost surely, 2^972627040 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 972627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443467088).

972627040 is an abundant number, since it is smaller than the sum of its proper divisors (1914307136).

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

972627040 is a wasteful number, since it uses less digits than its factorization.

972627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 972627040 is about 31186.9690736371. The cubic root of 972627040 is about 990.7911371587.

The spelling of 972627040 in words is "nine hundred seventy-two million, six hundred twenty-seven thousand, forty".