61893600 has 288 divisors, whose sum is σ = 224423136. Its totient is φ = 14745600.

The previous prime is 61893599. The next prime is 61893619. The reversal of 61893600 is 639816.

61893600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1509580 + ... + 1509620.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 2^61893600 is an apocalyptic number.

61893600 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 61893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

61893600 is an abundant number, since it is smaller than the sum of its proper divisors (162529536).

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

61893600 is a wasteful number, since it uses less digits than its factorization.

61893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 61893600 is about 7867.2485660490. The cubic root of 61893600 is about 395.5626229058.

The spelling of 61893600 in words is "sixty-one million, eight hundred ninety-three thousand, six hundred".