95270400 has 180 divisors, whose sum is σ = 341358732. Its totient is φ = 25374720.

The previous prime is 95270387. The next prime is 95270401. The reversal of 95270400 is 407259.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95270401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114787 + ... + 115613.

Almost surely, 2^95270400 is an apocalyptic number.

95270400 is a gapful number since it is divisible by the number (90) 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 95270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170679366).

95270400 is an abundant number, since it is smaller than the sum of its proper divisors (246088332).

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

95270400 is a wasteful number, since it uses less digits than its factorization.

95270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 95270400 is about 9760.6557156781. The cubic root of 95270400 is about 456.7227688429.

Adding to 95270400 its reverse (407259), we get a palindrome (95677659).

The spelling of 95270400 in words is "ninety-five million, two hundred seventy thousand, four hundred".