95627616 has 144 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 26342400.

The previous prime is 95627611. The next prime is 95627633. The reversal of 95627616 is 61672659.

It is a super-3 number, since 3×95627616³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95627611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136066 + ... + 136766.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^95627616 is an apocalyptic number.

95627616 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 95627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

95627616 is an abundant number, since it is smaller than the sum of its proper divisors (206878224).

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

95627616 is a wasteful number, since it uses less digits than its factorization.

95627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 742 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 95627616 is about 9778.9373655832. The cubic root of 95627616 is about 457.2928836454.

The spelling of 95627616 in words is "ninety-five million, six hundred twenty-seven thousand, six hundred sixteen".