966335040 has 504 divisors, whose sum is σ = 3794394240. Its totient is φ = 225392640.

The previous prime is 966335021. The next prime is 966335059. The reversal of 966335040 is 40533669.

966335040 is a `hidden beast` number, since 96 + 63 + 3 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (966335021) and next prime (966335059).

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 = 966334986 and 966335004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16378531 + ... + 16378589.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^966335040 is an apocalyptic number.

966335040 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 966335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897197120).

966335040 is an abundant number, since it is smaller than the sum of its proper divisors (2828059200).

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

966335040 is a wasteful number, since it uses less digits than its factorization.

966335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 966335040 is about 31085.9299362268. The cubic root of 966335040 is about 988.6500118117.

The spelling of 966335040 in words is "nine hundred sixty-six million, three hundred thirty-five thousand, forty".