61905408 has 80 divisors (see below), whose sum is σ = 169114176. Its totient is φ = 20111360.

The previous prime is 61905407. The next prime is 61905409. The reversal of 61905408 is 80450916.

It is an interprime number because it is at equal distance from previous prime (61905407) and next prime (61905409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61905407) 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, 62485 + ... + 63467.

Almost surely, 2^61905408 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 61905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84557088).

61905408 is an abundant number, since it is smaller than the sum of its proper divisors (107208768).

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

61905408 is an equidigital number, since it uses as much as digits as its factorization.

61905408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 61905408 is about 7867.9989832231. The cubic root of 61905408 is about 395.5877763221.

The spelling of 61905408 in words is "sixty-one million, nine hundred five thousand, four hundred eight".