967230720 has 360 divisors, whose sum is σ = 3650502240. Its totient is φ = 243855360.

The previous prime is 967230703. The next prime is 967230731. The reversal of 967230720 is 27032769.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969675 + ... + 1970165.

It is an arithmetic number, because the mean of its divisors is an integer number (10140284).

Almost surely, 2^967230720 is an apocalyptic number.

967230720 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 967230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825251120).

967230720 is an abundant number, since it is smaller than the sum of its proper divisors (2683271520).

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

967230720 is a wasteful number, since it uses less digits than its factorization.

967230720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 967230720 is about 31100.3331171870. Note that the first 3 decimals coincide. The cubic root of 967230720 is about 988.9553719464.

The spelling of 967230720 in words is "nine hundred sixty-seven million, two hundred thirty thousand, seven hundred twenty".