601264620 has 336 divisors, whose sum is σ = 2168232192. Its totient is φ = 138568320.

The previous prime is 601264591. The next prime is 601264637. The reversal of 601264620 is 26462106.

It is a happy number.

601264620 is a `hidden beast` number, since 6 + 0 + 12 + 646 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3688659 + ... + 3688821.

It is an arithmetic number, because the mean of its divisors is an integer number (6453072).

Almost surely, 2^601264620 is an apocalyptic number.

601264620 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 601264620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084116096).

601264620 is an abundant number, since it is smaller than the sum of its proper divisors (1566967572).

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

601264620 is a wasteful number, since it uses less digits than its factorization.

601264620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 601264620 is about 24520.6977877874. The cubic root of 601264620 is about 844.0248171465.

It can be divided in two parts, 60126 and 4620, that added together give a palindrome (64746).

The spelling of 601264620 in words is "six hundred one million, two hundred sixty-four thousand, six hundred twenty".