95746560 has 320 divisors, whose sum is σ = 379475712. Its totient is φ = 20054016.

The previous prime is 95746523. The next prime is 95746561. The reversal of 95746560 is 6564759.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (95746561) 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, 698812 + ... + 698948.

Almost surely, 2^95746560 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 95746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189737856).

95746560 is an abundant number, since it is smaller than the sum of its proper divisors (283729152).

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

95746560 is a wasteful number, since it uses less digits than its factorization.

95746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 95746560 is about 9785.0171180228. The cubic root of 95746560 is about 457.4824025003.

The spelling of 95746560 in words is "ninety-five million, seven hundred forty-six thousand, five hundred sixty".