61867000 has 64 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 22838400.

The previous prime is 61866971. The next prime is 61867007. The reversal of 61867000 is 76816.

It is a self number, because there is not a number n which added to its sum of digits gives 61867000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61867007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10621 + ... + 15379.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^61867000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

61867000 is an abundant number, since it is smaller than the sum of its proper divisors (94070600).

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

61867000 is a wasteful number, since it uses less digits than its factorization.

61867000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 61867000 is about 7865.5578314573. The cubic root of 61867000 is about 395.5059478297.

The spelling of 61867000 in words is "sixty-one million, eight hundred sixty-seven thousand".