61429680 has 120 divisors (see below), whose sum is σ = 222204528. Its totient is φ = 15118848.

The previous prime is 61429673. The next prime is 61429681. The reversal of 61429680 is 8692416.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (61429681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6079 + ... + 12641.

Almost surely, 2^61429680 is an apocalyptic number.

61429680 is a gapful number since it is divisible by the number (60) 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 61429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111102264).

61429680 is an abundant number, since it is smaller than the sum of its proper divisors (160774848).

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

61429680 is a wasteful number, since it uses less digits than its factorization.

61429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61429680 is about 7837.7088488920. The cubic root of 61429680 is about 394.5718375059.

The spelling of 61429680 in words is "sixty-one million, four hundred twenty-nine thousand, six hundred eighty".