601164720 has 320 divisors, whose sum is σ = 2266521600. Its totient is φ = 145566720.

The previous prime is 601164719. The next prime is 601164721. The reversal of 601164720 is 27461106.

601164720 is a `hidden beast` number, since 6 + 0 + 11 + 647 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (601164719) and next prime (601164721).

It is a super-2 number, since 2×601164720² = 722798041145356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (601164721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2218185 + ... + 2218455.

It is an arithmetic number, because the mean of its divisors is an integer number (7082880).

Almost surely, 2^601164720 is an apocalyptic number.

601164720 is a gapful number since it is divisible by the number (60) 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 601164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133260800).

601164720 is an abundant number, since it is smaller than the sum of its proper divisors (1665356880).

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

601164720 is a wasteful number, since it uses less digits than its factorization.

601164720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 601164720 is about 24518.6606485754. The cubic root of 601164720 is about 843.9780697041.

The spelling of 601164720 in words is "six hundred one million, one hundred sixty-four thousand, seven hundred twenty".