967824 has 120 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 264960.

The previous prime is 967823. The next prime is 967831. The reversal of 967824 is 428769.

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

It is not an unprimeable number, because it can be changed into a prime (967823) 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, 20569 + ... + 20615.

2⁹⁶⁷⁸²⁴ is an apocalyptic number.

967824 is a gapful number since it is divisible by the number (94) 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 967824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

967824 is an abundant number, since it is smaller than the sum of its proper divisors (2281968).

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

967824 is a wasteful number, since it uses less digits than its factorization.

967824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

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

The square root of 967824 is about 983.7804633149. The cubic root of 967824 is about 98.9157532441.

Adding to 967824 its product of digits (24192), we get a square (992016 = 996²).

The spelling of 967824 in words is "nine hundred sixty-seven thousand, eight hundred twenty-four".