967646448 has 60 divisors (see below), whose sum is σ = 2738530080. Its totient is φ = 318920448.

The previous prime is 967646441. The next prime is 967646461. The reversal of 967646448 is 844646769.

967646448 is a `hidden beast` number, since 96 + 76 + 46 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 967646394 and 967646403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967646441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24936 + ... + 50567.

It is an arithmetic number, because the mean of its divisors is an integer number (45642168).

Almost surely, 2^967646448 is an apocalyptic number.

It is an amenable number.

967646448 is an abundant number, since it is smaller than the sum of its proper divisors (1770883632).

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

967646448 is a wasteful number, since it uses less digits than its factorization.

967646448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75606 (or 75597 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 967646448 is about 31107.0160574749. The cubic root of 967646448 is about 989.0970401615.

The spelling of 967646448 in words is "nine hundred sixty-seven million, six hundred forty-six thousand, four hundred forty-eight".