95948160 has 384 divisors, whose sum is σ = 390700800. Its totient is φ = 19599360.

The previous prime is 95948147. The next prime is 95948161. The reversal of 95948160 is 6184959.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95948161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626211 + ... + 1626269.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^95948160 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 95948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

95948160 is an abundant number, since it is smaller than the sum of its proper divisors (294752640).

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

95948160 is a wasteful number, since it uses less digits than its factorization.

95948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 95948160 is about 9795.3131649784. The cubic root of 95948160 is about 457.8032627559.

The spelling of 95948160 in words is "ninety-five million, nine hundred forty-eight thousand, one hundred sixty".