95364000 has 192 divisors, whose sum is σ = 347518080. Its totient is φ = 25401600.

The previous prime is 95363963. The next prime is 95364007. The reversal of 95364000 is 46359.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (95364007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107559 + ... + 108441.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 2^95364000 is an apocalyptic number.

95364000 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 95364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

95364000 is an abundant number, since it is smaller than the sum of its proper divisors (252154080).

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

95364000 is a wasteful number, since it uses less digits than its factorization.

95364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 95364000 is about 9765.4492984194. The cubic root of 95364000 is about 456.8722915309.

The spelling of 95364000 in words is "ninety-five million, three hundred sixty-four thousand".