61888000 has 80 divisors (see below), whose sum is σ = 154481184. Its totient is φ = 24729600.

The previous prime is 61887979. The next prime is 61888031. The reversal of 61888000 is 88816.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×61888000³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63517 + ... + 64483.

Almost surely, 2^61888000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77240592).

61888000 is an abundant number, since it is smaller than the sum of its proper divisors (92593184).

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

61888000 is an frugal number, since it uses more digits than its factorization.

61888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 61888000 is about 7866.8926521213. The cubic root of 61888000 is about 395.5506926605.

The spelling of 61888000 in words is "sixty-one million, eight hundred eighty-eight thousand".