61860000 has 120 divisors (see below), whose sum is σ = 203109984. Its totient is φ = 16480000.

The previous prime is 61859971. The next prime is 61860013. The reversal of 61860000 is 6816.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59485 + ... + 60515.

Almost surely, 2^61860000 is an apocalyptic number.

61860000 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 61860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101554992).

61860000 is an abundant number, since it is smaller than the sum of its proper divisors (141249984).

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

61860000 is a wasteful number, since it uses less digits than its factorization.

61860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61860000 is about 7865.1128408943. The cubic root of 61860000 is about 395.4910306361.

Adding to 61860000 its reverse (6816), we get a palindrome (61866816).

The spelling of 61860000 in words is "sixty-one million, eight hundred sixty thousand".