95378016 has 48 divisors (see below), whose sum is σ = 252370944. Its totient is φ = 31538304.

The previous prime is 95378011. The next prime is 95378021. The reversal of 95378016 is 61087359.

It is an interprime number because it is at equal distance from previous prime (95378011) and next prime (95378021).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×95378016³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95378011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8281 + ... + 16103.

It is an arithmetic number, because the mean of its divisors is an integer number (5257728).

Almost surely, 2^95378016 is an apocalyptic number.

95378016 is a gapful number since it is divisible by the number (96) 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 95378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126185472).

95378016 is an abundant number, since it is smaller than the sum of its proper divisors (156992928).

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

95378016 is a wasteful number, since it uses less digits than its factorization.

95378016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 95378016 is about 9766.1669041646. The cubic root of 95378016 is about 456.8946731716.

The spelling of 95378016 in words is "ninety-five million, three hundred seventy-eight thousand, sixteen".