967645440 has 504 divisors, whose sum is σ = 3739870008. Its totient is φ = 238878720.

The previous prime is 967645421. The next prime is 967645453. The reversal of 967645440 is 44546769.

967645440 is a `hidden beast` number, since 96 + 76 + 454 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 940771584 = 5184^2 + 30672^2 .

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 55 ways as a sum of consecutive naturals, for example, 15863010 + ... + 15863070.

It is an arithmetic number, because the mean of its divisors is an integer number (7420377).

Almost surely, 2^967645440 is an apocalyptic number.

967645440 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 967645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869935004).

967645440 is an abundant number, since it is smaller than the sum of its proper divisors (2772224568).

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

967645440 is an equidigital number, since it uses as much as digits as its factorization.

967645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 967645440 is about 31106.9998553380. Note that the first 3 decimals coincide. The cubic root of 967645440 is about 989.0966967130.

The spelling of 967645440 in words is "nine hundred sixty-seven million, six hundred forty-five thousand, four hundred forty".