96167952 has 160 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 30119040.

The previous prime is 96167947. The next prime is 96167959. The reversal of 96167952 is 25976169.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96167898 and 96167907.

It is not an unprimeable number, because it can be changed into a prime (96167959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575773 + ... + 575939.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 2^96167952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96167952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

96167952 is an abundant number, since it is smaller than the sum of its proper divisors (197146608).

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

96167952 is a wasteful number, since it uses less digits than its factorization.

96167952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 96167952 is about 9806.5259903801. The cubic root of 96167952 is about 458.1525651288.

The spelling of 96167952 in words is "ninety-six million, one hundred sixty-seven thousand, nine hundred fifty-two".