91679616 has 96 divisors (see below), whose sum is σ = 301532400. Its totient is φ = 26191872.

The previous prime is 91679611. The next prime is 91679629. The reversal of 91679616 is 61697619.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91679611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2380 + ... + 13748.

Almost surely, 2^91679616 is an apocalyptic number.

91679616 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 91679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150766200).

91679616 is an abundant number, since it is smaller than the sum of its proper divisors (209852784).

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

91679616 is a wasteful number, since it uses less digits than its factorization.

91679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11396 (or 11381 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 91679616 is about 9574.9473105600. The cubic root of 91679616 is about 450.9111022204.

It can be divided in two parts, 9 and 1679616, that multiplied together give a square (15116544 = 3888²).

The spelling of 91679616 in words is "ninety-one million, six hundred seventy-nine thousand, six hundred sixteen".