972468 has 72 divisors (see below), whose sum is σ = 2987712. Its totient is φ = 260352.

The previous prime is 972443. The next prime is 972469. The reversal of 972468 is 864279.

It is a super-2 number, since 2×972468² = 1891388022048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972469) 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, 4171 + ... + 4397.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁹⁷²⁴⁶⁸ 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 972468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856).

972468 is an abundant number, since it is smaller than the sum of its proper divisors (2015244).

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

972468 is a wasteful number, since it uses less digits than its factorization.

972468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 972468 is about 986.1379213883. The cubic root of 972468 is about 99.0737130842.

The spelling of 972468 in words is "nine hundred seventy-two thousand, four hundred sixty-eight".