96257952 has 216 divisors, whose sum is σ = 336117600. Its totient is φ = 25982208.

The previous prime is 96257947. The next prime is 96257957. The reversal of 96257952 is 25975269.

It is an interprime number because it is at equal distance from previous prime (96257947) and next prime (96257957).

It is a junction number, because it is equal to n+sod(n) for n = 96257898 and 96257907.

It is not an unprimeable number, because it can be changed into a prime (96257957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267949 + ... + 268307.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^96257952 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 96257952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

96257952 is an abundant number, since it is smaller than the sum of its proper divisors (239859648).

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

96257952 is a wasteful number, since it uses less digits than its factorization.

96257952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 96257952 is about 9811.1136982506. The cubic root of 96257952 is about 458.2954432001.

The spelling of 96257952 in words is "ninety-six million, two hundred fifty-seven thousand, nine hundred fifty-two".