95346720 has 240 divisors, whose sum is σ = 384931008. Its totient is φ = 21772800.

The previous prime is 95346683. The next prime is 95346733. The reversal of 95346720 is 2764359.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90195 + ... + 91245.

Almost surely, 2^95346720 is an apocalyptic number.

95346720 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 95346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192465504).

95346720 is an abundant number, since it is smaller than the sum of its proper divisors (289584288).

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

95346720 is a wasteful number, since it uses less digits than its factorization.

95346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 95346720 is about 9764.5645064181. The cubic root of 95346720 is about 456.8446947086.

The spelling of 95346720 in words is "ninety-five million, three hundred forty-six thousand, seven hundred twenty".