95348400 has 120 divisors (see below), whose sum is σ = 349096704. Its totient is φ = 21792000.

The previous prime is 95348389. The next prime is 95348401. The reversal of 95348400 is 484359.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (95348401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2725 + ... + 14075.

Almost surely, 2^95348400 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 95348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174548352).

95348400 is an abundant number, since it is smaller than the sum of its proper divisors (253748304).

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

95348400 is a wasteful number, since it uses less digits than its factorization.

95348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11379 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 95348400 is about 9764.6505313810. The cubic root of 95348400 is about 456.8473778793.

The spelling of 95348400 in words is "ninety-five million, three hundred forty-eight thousand, four hundred".