972311040 has 280 divisors, whose sum is σ = 3502011348. Its totient is φ = 258785280.

The previous prime is 972311009. The next prime is 972311069. The reversal of 972311040 is 40113279.

It can be written as a sum of positive squares in 2 ways, for example, as 940771584 + 31539456 = 30672^2 + 5616^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 972310995 and 972311013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1865980 + ... + 1866500.

Almost surely, 2^972311040 is an apocalyptic number.

972311040 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 972311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751005674).

972311040 is an abundant number, since it is smaller than the sum of its proper divisors (2529700308).

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

972311040 is an frugal number, since it uses more digits than its factorization.

972311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 972311040 is about 31181.9024435649. The cubic root of 972311040 is about 990.6838250718.

The spelling of 972311040 in words is "nine hundred seventy-two million, three hundred eleven thousand, forty".