61687800 has 144 divisors (see below), whose sum is σ = 212252040. Its totient is φ = 16047360.

The previous prime is 61687777. The next prime is 61687807. The reversal of 61687800 is 878616.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61687807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77002 + ... + 77798.

Almost surely, 2^61687800 is an apocalyptic number.

61687800 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 61687800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106126020).

61687800 is an abundant number, since it is smaller than the sum of its proper divisors (150564240).

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

61687800 is a wasteful number, since it uses less digits than its factorization.

61687800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 61687800 is about 7854.1581343897. The cubic root of 61687800 is about 395.1237127850.

The spelling of 61687800 in words is "sixty-one million, six hundred eighty-seven thousand, eight hundred".