119906304 has 224 divisors, whose sum is σ = 396337536. Its totient is φ = 31457280.

The previous prime is 119906261. The next prime is 119906309. The reversal of 119906304 is 403609911.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119906309) 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, 2924524 + ... + 2924564.

It is an arithmetic number, because the mean of its divisors is an integer number (1769364).

Almost surely, 2^119906304 is an apocalyptic number.

119906304 is a gapful number since it is divisible by the number (14) 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 119906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198168768).

119906304 is an abundant number, since it is smaller than the sum of its proper divisors (276431232).

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

119906304 is an equidigital number, since it uses as much as digits as its factorization.

119906304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 119906304 is about 10950.1736972525. The cubic root of 119906304 is about 493.1140068808.

It can be divided in two parts, 119 and 906304, that multiplied together give a cube (107850176 = 476³).

The spelling of 119906304 in words is "one hundred nineteen million, nine hundred six thousand, three hundred four".