613126800 has 480 divisors, whose sum is σ = 2570252160. Its totient is φ = 136857600.

The previous prime is 613126793. The next prime is 613126807. The reversal of 613126800 is 8621316.

It is an interprime number because it is at equal distance from previous prime (613126793) and next prime (613126807).

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 (613126807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544202 + ... + 1544598.

It is an arithmetic number, because the mean of its divisors is an integer number (5354692).

Almost surely, 2^613126800 is an apocalyptic number.

613126800 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 613126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285126080).

613126800 is an abundant number, since it is smaller than the sum of its proper divisors (1957125360).

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

613126800 is a wasteful number, since it uses less digits than its factorization.

613126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 613126800 is about 24761.3973757541. The cubic root of 613126800 is about 849.5392196935.

The spelling of 613126800 in words is "six hundred thirteen million, one hundred twenty-six thousand, eight hundred".