61084800 has 384 divisors, whose sum is σ = 258019200. Its totient is φ = 13824000.

The previous prime is 61084783. The next prime is 61084813. The reversal of 61084800 is 848016.

61084800 is a `hidden beast` number, since 610 + 8 + 48 + 0 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604750 + ... + 604850.

It is an arithmetic number, because the mean of its divisors is an integer number (671925).

Almost surely, 2^61084800 is an apocalyptic number.

61084800 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 61084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129009600).

61084800 is an abundant number, since it is smaller than the sum of its proper divisors (196934400).

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

61084800 is a wasteful number, since it uses less digits than its factorization.

61084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61084800 is about 7815.6765542082. The cubic root of 61084800 is about 393.8320463947.

The spelling of 61084800 in words is "sixty-one million, eighty-four thousand, eight hundred".