991727616 has 312 divisors, whose sum is σ = 3137480640. Its totient is φ = 277544960.

The previous prime is 991727579. The next prime is 991727617. The reversal of 991727616 is 616727199.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (991727617) 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, 34197490 + ... + 34197518.

Almost surely, 2^991727616 is an apocalyptic number.

991727616 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 991727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568740320).

991727616 is an abundant number, since it is smaller than the sum of its proper divisors (2145753024).

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

991727616 is a wasteful number, since it uses less digits than its factorization.

991727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its digits is 285768, while the sum is 48.

The square root of 991727616 is about 31491.7070988538. The cubic root of 991727616 is about 997.2348999354.

The spelling of 991727616 in words is "nine hundred ninety-one million, seven hundred twenty-seven thousand, six hundred sixteen".