972599040 has 324 divisors, whose sum is σ = 3916765944. Its totient is φ = 222179328.

The previous prime is 972599039. The next prime is 972599041. The reversal of 972599040 is 40995279.

972599040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (972599039) and next prime (972599041).

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 (972599041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563619 + ... + 565341.

Almost surely, 2^972599040 is an apocalyptic number.

972599040 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 972599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958382972).

972599040 is an abundant number, since it is smaller than the sum of its proper divisors (2944166904).

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

972599040 is a wasteful number, since it uses less digits than its factorization.

972599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 972599040 is about 31186.5201649687. The cubic root of 972599040 is about 990.7816294314.

The spelling of 972599040 in words is "nine hundred seventy-two million, five hundred ninety-nine thousand, forty".