61261800 has 48 divisors (see below), whose sum is σ = 189913440. Its totient is φ = 16336320.

The previous prime is 61261793. The next prime is 61261801. The reversal of 61261800 is 816216.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61261801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50452 + ... + 51651.

It is an arithmetic number, because the mean of its divisors is an integer number (3956530).

Almost surely, 2^61261800 is an apocalyptic number.

61261800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61261800 is an abundant number, since it is smaller than the sum of its proper divisors (128651640).

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

61261800 is a wasteful number, since it uses less digits than its factorization.

61261800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102122 (or 102113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 61261800 is about 7826.9917592904. The cubic root of 61261800 is about 394.2120702917.

The spelling of 61261800 in words is "sixty-one million, two hundred sixty-one thousand, eight hundred".