601916832 has 288 divisors, whose sum is σ = 2007742464. Its totient is φ = 175737600.

The previous prime is 601916797. The next prime is 601916839. The reversal of 601916832 is 238619106.

601916832 is a `hidden beast` number, since 601 + 9 + 16 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (601916839) 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 47 ways as a sum of consecutive naturals, for example, 2651503 + ... + 2651729.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^601916832 is an apocalyptic number.

601916832 is a gapful number since it is divisible by the number (62) 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 601916832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

601916832 is an abundant number, since it is smaller than the sum of its proper divisors (1405825632).

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

601916832 is a wasteful number, since it uses less digits than its factorization.

601916832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 601916832 is about 24533.9933969177. The cubic root of 601916832 is about 844.3298875892.

The spelling of 601916832 in words is "six hundred one million, nine hundred sixteen thousand, eight hundred thirty-two".