616060800 has 144 divisors (see below), whose sum is σ = 2198348880. Its totient is φ = 164275200.

The previous prime is 616060787. The next prime is 616060811. The reversal of 616060800 is 8060616.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×616060800⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18105 + ... + 39495.

Almost surely, 2^616060800 is an apocalyptic number.

616060800 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 616060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099174440).

616060800 is an abundant number, since it is smaller than the sum of its proper divisors (1582288080).

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

616060800 is a wasteful number, since it uses less digits than its factorization.

616060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21421 (or 21401 counting only the distinct ones).

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

The square root of 616060800 is about 24820.5721126649. The cubic root of 616060800 is about 850.8921659017.

The spelling of 616060800 in words is "six hundred sixteen million, sixty thousand, eight hundred".