61935408 has 80 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 20533824.

The previous prime is 61935407. The next prime is 61935439. The reversal of 61935408 is 80453916.

61935408 is a `hidden beast` number, since 619 + 35 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61935407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132391 + ... + 132857.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^61935408 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 61935408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

61935408 is an abundant number, since it is smaller than the sum of its proper divisors (116803152).

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

61935408 is a wasteful number, since it uses less digits than its factorization.

61935408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 61935408 is about 7869.9052090861. The cubic root of 61935408 is about 395.6516679762.

The spelling of 61935408 in words is "sixty-one million, nine hundred thirty-five thousand, four hundred eight".