601460160 has 448 divisors, whose sum is σ = 2335011840. Its totient is φ = 128286720.

The previous prime is 601460149. The next prime is 601460177. The reversal of 601460160 is 61064106.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 601460160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10194211 + ... + 10194269.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^601460160 is an apocalyptic number.

601460160 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 601460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167505920).

601460160 is an abundant number, since it is smaller than the sum of its proper divisors (1733551680).

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

601460160 is a wasteful number, since it uses less digits than its factorization.

601460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 601460160 is about 24524.6847074534. The cubic root of 601460160 is about 844.1163036120.

It can be divided in two parts, 60 and 1460160, that multiplied together give a square (87609600 = 9360²).

The spelling of 601460160 in words is "six hundred one million, four hundred sixty thousand, one hundred sixty".