61329408 has 208 divisors, whose sum is σ = 201302016. Its totient is φ = 16220160.

The previous prime is 61329361. The next prime is 61329409. The reversal of 61329408 is 80492316.

It is a super-2 number, since 2×61329408² = 7522592571260928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61329409) 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, 1978353 + ... + 1978383.

Almost surely, 2^61329408 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 61329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100651008).

61329408 is an abundant number, since it is smaller than the sum of its proper divisors (139972608).

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

61329408 is a wasteful number, since it uses less digits than its factorization.

61329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 61329408 is about 7831.3094690479. The cubic root of 61329408 is about 394.3570333377.

The spelling of 61329408 in words is "sixty-one million, three hundred twenty-nine thousand, four hundred eight".