978264 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 279072.

The previous prime is 978239. The next prime is 978269. The reversal of 978264 is 462879.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978269) by changing a digit.

978264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁹⁷⁸²⁶⁴ 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 978264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

978264 is an abundant number, since it is smaller than the sum of its proper divisors (2132136).

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

978264 is a wasteful number, since it uses less digits than its factorization.

978264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

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

The square root of 978264 is about 989.0722926056. The cubic root of 978264 is about 99.2701528572.

The spelling of 978264 in words is "nine hundred seventy-eight thousand, two hundred sixty-four".