601020000 has 600 divisors, whose sum is σ = 2571939216. Its totient is φ = 134784000.

The previous prime is 601019977. The next prime is 601020001. The reversal of 601020000 is 20106.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×601020000² = 722450080800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601020001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 11339974 + ... + 11340026.

Almost surely, 2^601020000 is an apocalyptic number.

601020000 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 601020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285969608).

601020000 is an abundant number, since it is smaller than the sum of its proper divisors (1970919216).

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

601020000 is an equidigital number, since it uses as much as digits as its factorization.

601020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 601020000 is about 24515.7092493772. The cubic root of 601020000 is about 843.9103398987.

Adding to 601020000 its reverse (20106), we get a palindrome (601040106).

The spelling of 601020000 in words is "six hundred one million, twenty thousand".