95964096 has 112 divisors (see below), whose sum is σ = 273881088. Its totient is φ = 29568000.

The previous prime is 95964091. The next prime is 95964107. The reversal of 95964096 is 69046959.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95964091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136546 + ... + 137246.

Almost surely, 2^95964096 is an apocalyptic number.

95964096 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 95964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

95964096 is an abundant number, since it is smaller than the sum of its proper divisors (177916992).

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

95964096 is a wasteful number, since it uses less digits than its factorization.

95964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 95964096 is about 9796.1265814607. The cubic root of 95964096 is about 457.8286068199.

The spelling of 95964096 in words is "ninety-five million, nine hundred sixty-four thousand, ninety-six".