95616000 has 264 divisors, whose sum is σ = 348710544. Its totient is φ = 25190400.

The previous prime is 95615969. The next prime is 95616019. The reversal of 95616000 is 61659.

95616000 is a `hidden beast` number, since 9 + 56 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151959 + ... + 1152041.

Almost surely, 2^95616000 is an apocalyptic number.

95616000 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 95616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174355272).

95616000 is an abundant number, since it is smaller than the sum of its proper divisors (253094544).

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

95616000 is a wasteful number, since it uses less digits than its factorization.

95616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95616000 is about 9778.3434179824. The cubic root of 95616000 is about 457.2743669259.

Adding to 95616000 its reverse (61659), we get a palindrome (95677659).

The spelling of 95616000 in words is "ninety-five million, six hundred sixteen thousand".