967206240 has 864 divisors, whose sum is σ = 4538334528. Its totient is φ = 182476800.

The previous prime is 967206223. The next prime is 967206241. The reversal of 967206240 is 42602769.

It is a happy number.

967206240 is a `hidden beast` number, since 9 + 6 + 7 + 20 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 967206195 and 967206204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967206241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15855810 + ... + 15855870.

It is an arithmetic number, because the mean of its divisors is an integer number (5252702).

Almost surely, 2^967206240 is an apocalyptic number.

967206240 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 967206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269167264).

967206240 is an abundant number, since it is smaller than the sum of its proper divisors (3571128288).

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

967206240 is a wasteful number, since it uses less digits than its factorization.

967206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 967206240 is about 31099.9395497805. The cubic root of 967206240 is about 988.9470285970.

The spelling of 967206240 in words is "nine hundred sixty-seven million, two hundred six thousand, two hundred forty".