61429940 has 96 divisors (see below), whose sum is σ = 155119104. Its totient is φ = 20136960.

The previous prime is 61429913. The next prime is 61429943. The reversal of 61429940 is 4992416.

61429940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61429940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61429943) 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 31 ways as a sum of consecutive naturals, for example, 134192 + ... + 134648.

It is an arithmetic number, because the mean of its divisors is an integer number (1615824).

Almost surely, 2^61429940 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 61429940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77559552).

61429940 is an abundant number, since it is smaller than the sum of its proper divisors (93689164).

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

61429940 is a wasteful number, since it uses less digits than its factorization.

61429940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 61429940 is about 7837.7254353543. The cubic root of 61429940 is about 394.5723941779.

The spelling of 61429940 in words is "sixty-one million, four hundred twenty-nine thousand, nine hundred forty".