601152000 has 320 divisors, whose sum is σ = 2083580928. Its totient is φ = 153600000.

The previous prime is 601151953. The next prime is 601152017. The reversal of 601152000 is 251106.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×601152000² = 722767454208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5951950 + ... + 5952050.

Almost surely, 2^601152000 is an apocalyptic number.

601152000 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 601152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041790464).

601152000 is an abundant number, since it is smaller than the sum of its proper divisors (1482428928).

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

601152000 is a wasteful number, since it uses less digits than its factorization.

601152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 601152000 is about 24518.4012529365. The cubic root of 601152000 is about 843.9721171056.

The spelling of 601152000 in words is "six hundred one million, one hundred fifty-two thousand".