61857900 has 216 divisors, whose sum is σ = 221798304. Its totient is φ = 14284800.

The previous prime is 61857893. The next prime is 61857911. The reversal of 61857900 is 975816.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198745 + ... + 199055.

It is an arithmetic number, because the mean of its divisors is an integer number (1026844).

Almost surely, 2^61857900 is an apocalyptic number.

61857900 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 61857900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899152).

61857900 is an abundant number, since it is smaller than the sum of its proper divisors (159940404).

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

61857900 is a wasteful number, since it uses less digits than its factorization.

61857900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 61857900 is about 7864.9793388158. The cubic root of 61857900 is about 395.4865552585.

The spelling of 61857900 in words is "sixty-one million, eight hundred fifty-seven thousand, nine hundred".