61935104 has 80 divisors (see below), whose sum is σ = 154382976. Its totient is φ = 24115200.

The previous prime is 61935103. The next prime is 61935121. The reversal of 61935104 is 40153916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61935103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38639 + ... + 40209.

Almost surely, 2^61935104 is an apocalyptic number.

61935104 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 61935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77191488).

61935104 is an abundant number, since it is smaller than the sum of its proper divisors (92447872).

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

61935104 is a wasteful number, since it uses less digits than its factorization.

61935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 61935104 is about 7869.8858949797. The cubic root of 61935104 is about 395.6510206442.

The spelling of 61935104 in words is "sixty-one million, nine hundred thirty-five thousand, one hundred four".