61810500 has 96 divisors (see below), whose sum is σ = 182407680. Its totient is φ = 16262400.

The previous prime is 61810481. The next prime is 61810501. The reversal of 61810500 is 501816.

It is not an unprimeable number, because it can be changed into a prime (61810501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133269 + ... + 133731.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 2^61810500 is an apocalyptic number.

61810500 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 61810500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91203840).

61810500 is an abundant number, since it is smaller than the sum of its proper divisors (120597180).

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

61810500 is a wasteful number, since it uses less digits than its factorization.

61810500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 61810500 is about 7861.9654031292. The cubic root of 61810500 is about 395.3855126380.

Adding to 61810500 its sum of digits (21), we get a triangular number (61810521 = T₁₁₁₁₈).

The spelling of 61810500 in words is "sixty-one million, eight hundred ten thousand, five hundred".