91625216 has 36 divisors (see below), whose sum is σ = 185505264. Its totient is φ = 45167360.

The previous prime is 91625213. The next prime is 91625251. The reversal of 91625216 is 61252619.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91625213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1290461 + ... + 1290531.

It is an arithmetic number, because the mean of its divisors is an integer number (5152924).

Almost surely, 2^91625216 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 91625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92752632).

91625216 is an abundant number, since it is smaller than the sum of its proper divisors (93880048).

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

91625216 is an frugal number, since it uses more digits than its factorization.

91625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 73 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 91625216 is about 9572.1061423283. The cubic root of 91625216 is about 450.8218987590.

91625216 divided by its sum of digits (32) gives a cube (2863288 = 142³).

The spelling of 91625216 in words is "ninety-one million, six hundred twenty-five thousand, two hundred sixteen".