61429600 has 72 divisors (see below), whose sum is σ = 154865088. Its totient is φ = 23769600.

The previous prime is 61429579. The next prime is 61429601. The reversal of 61429600 is 692416.

61429600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61429601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23562 + ... + 26038.

It is an arithmetic number, because the mean of its divisors is an integer number (2150904).

Almost surely, 2^61429600 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 61429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77432544).

61429600 is an abundant number, since it is smaller than the sum of its proper divisors (93435488).

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

61429600 is a wasteful number, since it uses less digits than its factorization.

61429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 61429600 is about 7837.7037453581. The cubic root of 61429600 is about 394.5716662220.

The spelling of 61429600 in words is "sixty-one million, four hundred twenty-nine thousand, six hundred".