96123564 has 48 divisors (see below), whose sum is σ = 250840800. Its totient is φ = 31831488.

The previous prime is 96123551. The next prime is 96123583. The reversal of 96123564 is 46532169.

It is a happy number.

96123564 is a `hidden beast` number, since 9 + 612 + 35 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14122 + ... + 19790.

It is an arithmetic number, because the mean of its divisors is an integer number (5225850).

Almost surely, 2^96123564 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 96123564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125420400).

96123564 is an abundant number, since it is smaller than the sum of its proper divisors (154717236).

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

96123564 is a wasteful number, since it uses less digits than its factorization.

96123564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5831 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 96123564 is about 9804.2625423843. The cubic root of 96123564 is about 458.0820648380.

The spelling of 96123564 in words is "ninety-six million, one hundred twenty-three thousand, five hundred sixty-four".