61129824 has 96 divisors (see below), whose sum is σ = 194213376. Its totient is φ = 16435200.

The previous prime is 61129823. The next prime is 61129843. The reversal of 61129824 is 42892116.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61129823) 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, 8749 + ... + 14099.

It is an arithmetic number, because the mean of its divisors is an integer number (2023056).

Almost surely, 2^61129824 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 61129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97106688).

61129824 is an abundant number, since it is smaller than the sum of its proper divisors (133083552).

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

61129824 is a wasteful number, since it uses less digits than its factorization.

61129824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5380 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 61129824 is about 7818.5563884901. The cubic root of 61129824 is about 393.9287837133.

The spelling of 61129824 in words is "sixty-one million, one hundred twenty-nine thousand, eight hundred twenty-four".