61937850 has 96 divisors (see below), whose sum is σ = 172738944. Its totient is φ = 14572800.

The previous prime is 61937809. The next prime is 61937857. The reversal of 61937850 is 5873916.

61937850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61937799 and 61937808.

It is not an unprimeable number, because it can be changed into a prime (61937857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44160 + ... + 45540.

It is an arithmetic number, because the mean of its divisors is an integer number (1799364).

Almost surely, 2^61937850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61937850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86369472).

61937850 is an abundant number, since it is smaller than the sum of its proper divisors (110801094).

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

61937850 is a wasteful number, since it uses less digits than its factorization.

61937850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 61937850 is about 7870.0603555500. The cubic root of 61937850 is about 395.6568678487.

The spelling of 61937850 in words is "sixty-one million, nine hundred thirty-seven thousand, eight hundred fifty".