967480920 has 192 divisors, whose sum is σ = 3622993920. Its totient is φ = 219324672.

The previous prime is 967480883. The next prime is 967480937. The reversal of 967480920 is 29084769.

It is a happy number.

967480920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318529 + ... + 321551.

It is an arithmetic number, because the mean of its divisors is an integer number (18869760).

Almost surely, 2^967480920 is an apocalyptic number.

967480920 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 967480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811496960).

967480920 is an abundant number, since it is smaller than the sum of its proper divisors (2655513000).

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

967480920 is a wasteful number, since it uses less digits than its factorization.

967480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 967480920 is about 31104.3553220445. The cubic root of 967480920 is about 989.0406378148.

The spelling of 967480920 in words is "nine hundred sixty-seven million, four hundred eighty thousand, nine hundred twenty".