95761440 has 168 divisors, whose sum is σ = 339612588. Its totient is φ = 25505280.

The previous prime is 95761423. The next prime is 95761441. The reversal of 95761440 is 4416759.

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 3370896 = 9612^2 + 1836^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 95761395 and 95761404.

It is not an unprimeable number, because it can be changed into a prime (95761441) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 116230 + ... + 117050.

Almost surely, 2^95761440 is an apocalyptic number.

95761440 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 95761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169806294).

95761440 is an abundant number, since it is smaller than the sum of its proper divisors (243851148).

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

95761440 is an equidigital number, since it uses as much as digits as its factorization.

95761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 95761440 is about 9785.7774346242. Note that the first 3 decimals coincide. The cubic root of 95761440 is about 457.5061004293.

The spelling of 95761440 in words is "ninety-five million, seven hundred sixty-one thousand, four hundred forty".