613142400 has 384 divisors, whose sum is σ = 2310789600. Its totient is φ = 142049280.

The previous prime is 613142399. The next prime is 613142419. The reversal of 613142400 is 4241316.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36067192 + ... + 36067208.

Almost surely, 2^613142400 is an apocalyptic number.

613142400 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 613142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155394800).

613142400 is an abundant number, since it is smaller than the sum of its proper divisors (1697647200).

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

613142400 is a wasteful number, since it uses less digits than its factorization.

613142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 613142400 is about 24761.7123802050. The cubic root of 613142400 is about 849.5464246737.

Adding to 613142400 its reverse (4241316), we get a palindrome (617383716).

It can be divided in two parts, 6 and 13142400, that multiplied together give a square (78854400 = 8880²).

The spelling of 613142400 in words is "six hundred thirteen million, one hundred forty-two thousand, four hundred".