963166032 has 320 divisors, whose sum is σ = 3085516800. Its totient is φ = 286640640.

The previous prime is 963166019. The next prime is 963166037. The reversal of 963166032 is 230661369.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (963166037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16324819 + ... + 16324877.

It is an arithmetic number, because the mean of its divisors is an integer number (9642240).

Almost surely, 2^963166032 is an apocalyptic number.

963166032 is a gapful number since it is divisible by the number (92) 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 963166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542758400).

963166032 is an abundant number, since it is smaller than the sum of its proper divisors (2122350768).

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

963166032 is a wasteful number, since it uses less digits than its factorization.

963166032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 963166032 is about 31034.9163362816. The cubic root of 963166032 is about 987.5680989623.

The spelling of 963166032 in words is "nine hundred sixty-three million, one hundred sixty-six thousand, thirty-two".