61354800 has 480 divisors, whose sum is σ = 258316800. Its totient is φ = 13685760.

The previous prime is 61354789. The next prime is 61354817. The reversal of 61354800 is 845316.

61354800 is a `hidden beast` number, since 613 + 5 + 48 + 0 + 0 = 666.

It is a super-2 number, since 2×61354800² = 7528822966080000, which contains 22 as substring.

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

It is an unprimeable number.

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, 2667589 + ... + 2667611.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^61354800 is an apocalyptic number.

61354800 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 61354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129158400).

61354800 is an abundant number, since it is smaller than the sum of its proper divisors (196962000).

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

61354800 is a wasteful number, since it uses less digits than its factorization.

61354800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61354800 is about 7832.9304860952. The cubic root of 61354800 is about 394.4114505821.

The spelling of 61354800 in words is "sixty-one million, three hundred fifty-four thousand, eight hundred".