305997696 has 128 divisors (see below), whose sum is σ = 927914400. Its totient is φ = 99201024.

The previous prime is 305997691. The next prime is 305997709. The reversal of 305997696 is 696799503.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305997691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126676 + ... + 129068.

Almost surely, 2^305997696 is an apocalyptic number.

305997696 is a gapful number since it is divisible by the number (36) 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 305997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463957200).

305997696 is an abundant number, since it is smaller than the sum of its proper divisors (621916704).

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

305997696 is a wasteful number, since it uses less digits than its factorization.

305997696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 305997696 is about 17492.7898289552. The cubic root of 305997696 is about 673.8647188037.

It can be divided in two parts, 305 and 997696, that added together give a square (998001 = 999²).

The spelling of 305997696 in words is "three hundred five million, nine hundred ninety-seven thousand, six hundred ninety-six".