95424000 has 320 divisors, whose sum is σ = 367690752. Its totient is φ = 21504000.

The previous prime is 95423989. The next prime is 95424001. The reversal of 95424000 is 42459.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95424001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343965 + ... + 1344035.

Almost surely, 2^95424000 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 95424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183845376).

95424000 is an abundant number, since it is smaller than the sum of its proper divisors (272266752).

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

95424000 is an equidigital number, since it uses as much as digits as its factorization.

95424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 95424000 is about 9768.5208706334. The cubic root of 95424000 is about 456.9680879548.

Adding to 95424000 its reverse (42459), we get a palindrome (95466459).

The spelling of 95424000 in words is "ninety-five million, four hundred twenty-four thousand".