61677600 has 144 divisors (see below), whose sum is σ = 207486720. Its totient is φ = 15897600.

The previous prime is 61677491. The next prime is 61677613. The reversal of 61677600 is 677616.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73986 + ... + 74814.

It is an arithmetic number, because the mean of its divisors is an integer number (1440880).

Almost surely, 2^61677600 is an apocalyptic number.

61677600 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 61677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103743360).

61677600 is an abundant number, since it is smaller than the sum of its proper divisors (145809120).

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

61677600 is a wasteful number, since it uses less digits than its factorization.

61677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 61677600 is about 7853.5087699703. The cubic root of 61677600 is about 395.1019338486.

The spelling of 61677600 in words is "sixty-one million, six hundred seventy-seven thousand, six hundred".