61842000 has 160 divisors (see below), whose sum is σ = 217736064. Its totient is φ = 14976000.

The previous prime is 61841999. The next prime is 61842029. The reversal of 61842000 is 24816.

61842000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65532 + ... + 66468.

Almost surely, 2^61842000 is an apocalyptic number.

61842000 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 61842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108868032).

61842000 is an abundant number, since it is smaller than the sum of its proper divisors (155894064).

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

61842000 is a wasteful number, since it uses less digits than its factorization.

61842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 61842000 is about 7863.9684638228. The cubic root of 61842000 is about 395.4526669700.

Adding to 61842000 its reverse (24816), we get a palindrome (61866816).

The spelling of 61842000 in words is "sixty-one million, eight hundred forty-two thousand".