61088400 has 180 divisors, whose sum is σ = 215879040. Its totient is φ = 15993600.

The previous prime is 61088393. The next prime is 61088411. The reversal of 61088400 is 488016.

61088400 is a `hidden beast` number, since 610 + 8 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×61088400² = 7463585229120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255481 + ... + 255719.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^61088400 is an apocalyptic number.

61088400 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 61088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

61088400 is an abundant number, since it is smaller than the sum of its proper divisors (154790640).

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

61088400 is a wasteful number, since it uses less digits than its factorization.

61088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

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

The square root of 61088400 is about 7815.9068571727. The cubic root of 61088400 is about 393.8397830030.

The spelling of 61088400 in words is "sixty-one million, eighty-eight thousand, four hundred".