601347672 has 96 divisors (see below), whose sum is σ = 1726628400. Its totient is φ = 193916160.

The previous prime is 601347671. The next prime is 601347731. The reversal of 601347672 is 276743106.

601347672 is a `hidden beast` number, since 601 + 3 + 47 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601347671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206128 + ... + 209024.

Almost surely, 2^601347672 is an apocalyptic number.

601347672 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 601347672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863314200).

601347672 is an abundant number, since it is smaller than the sum of its proper divisors (1125280728).

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

601347672 is a wasteful number, since it uses less digits than its factorization.

601347672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 601347672 is about 24522.3912373977. The cubic root of 601347672 is about 844.0636767542.

The spelling of 601347672 in words is "six hundred one million, three hundred forty-seven thousand, six hundred seventy-two".