61866000 has 240 divisors, whose sum is σ = 247448448. Its totient is φ = 14112000.

The previous prime is 61865989. The next prime is 61866029. The reversal of 61866000 is 66816.

It is a tau number, because it is divible by the number of its divisors (240).

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, 125755 + ... + 126245.

Almost surely, 2^61866000 is an apocalyptic number.

61866000 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 61866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123724224).

61866000 is an abundant number, since it is smaller than the sum of its proper divisors (185582448).

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

61866000 is a wasteful number, since it uses less digits than its factorization.

61866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61866000 is about 7865.4942629183. The cubic root of 61866000 is about 395.5038168709.

The spelling of 61866000 in words is "sixty-one million, eight hundred sixty-six thousand".