972840 has 96 divisors (see below), whose sum is σ = 3255840. Its totient is φ = 232320.

The previous prime is 972833. The next prime is 972847. The reversal of 972840 is 48279.

It is an interprime number because it is at equal distance from previous prime (972833) and next prime (972847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 972798 and 972807.

It is not an unprimeable number, because it can be changed into a prime (972847) 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, 14487 + ... + 14553.

It is an arithmetic number, because the mean of its divisors is an integer number (33915).

2⁹⁷²⁸⁴⁰ 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 972840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627920).

972840 is an abundant number, since it is smaller than the sum of its proper divisors (2283000).

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

972840 is a wasteful number, since it uses less digits than its factorization.

972840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 972840 is about 986.3265179442. The cubic root of 972840 is about 99.0863444245.

The spelling of 972840 in words is "nine hundred seventy-two thousand, eight hundred forty".