966421080 has 96 divisors (see below), whose sum is σ = 3200193360. Its totient is φ = 252844800.

The previous prime is 966421069. The next prime is 966421081. The reversal of 966421080 is 80124669.

966421080 is a `hidden beast` number, since 9 + 6 + 642 + 1 + 0 + 8 + 0 = 666.

966421080 is digitally balanced in base 2 and base 6, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966421081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6246 + ... + 44405.

Almost surely, 2^966421080 is an apocalyptic number.

966421080 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 966421080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600096680).

966421080 is an abundant number, since it is smaller than the sum of its proper divisors (2233772280).

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

966421080 is a wasteful number, since it uses less digits than its factorization.

966421080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50721 (or 50714 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 966421080 is about 31087.3138112639. The cubic root of 966421080 is about 988.6793532303.

The spelling of 966421080 in words is "nine hundred sixty-six million, four hundred twenty-one thousand, eighty".