61329576 has 144 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 15892800.

The previous prime is 61329571. The next prime is 61329607. The reversal of 61329576 is 67592316.

61329576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61329576² = 7522633784679552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61329571) 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 35 ways as a sum of consecutive naturals, for example, 142081 + ... + 142511.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^61329576 is an apocalyptic number.

61329576 is a gapful number since it is divisible by the number (66) 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 61329576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

61329576 is an abundant number, since it is smaller than the sum of its proper divisors (135169944).

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

61329576 is a wasteful number, since it uses less digits than its factorization.

61329576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 61329576 is about 7831.3201952161. The cubic root of 61329576 is about 394.3573934255.

The spelling of 61329576 in words is "sixty-one million, three hundred twenty-nine thousand, five hundred seventy-six".