61807104 has 160 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 19316736.

The previous prime is 61807079. The next prime is 61807111. The reversal of 61807104 is 40170816.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234877 + ... + 235139.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^61807104 is an apocalyptic number.

61807104 is a gapful number since it is divisible by the number (64) 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 61807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

61807104 is an abundant number, since it is smaller than the sum of its proper divisors (132644736).

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

61807104 is a wasteful number, since it uses less digits than its factorization.

61807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 61807104 is about 7861.7494236334. The cubic root of 61807104 is about 395.3782713991.

The spelling of 61807104 in words is "sixty-one million, eight hundred seven thousand, one hundred four".