95077640 has 96 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 32296320.

The previous prime is 95077613. The next prime is 95077643. The reversal of 95077640 is 4677059.

It is a junction number, because it is equal to n+sod(n) for n = 95077594 and 95077603.

It is not an unprimeable number, because it can be changed into a prime (95077643) 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 23 ways as a sum of consecutive naturals, for example, 350705 + ... + 350975.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^95077640 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 95077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

95077640 is an abundant number, since it is smaller than the sum of its proper divisors (156087160).

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

95077640 is a wasteful number, since it uses less digits than its factorization.

95077640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 95077640 is about 9750.7763793454. The cubic root of 95077640 is about 456.4145327652.

The spelling of 95077640 in words is "ninety-five million, seventy-seven thousand, six hundred forty".