60829440 has 288 divisors, whose sum is σ = 232329216. Its totient is φ = 13271040.

The previous prime is 60829429. The next prime is 60829441. The reversal of 60829440 is 4492806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60829441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833244 + ... + 833316.

Almost surely, 2^60829440 is an apocalyptic number.

60829440 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 60829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116164608).

60829440 is an abundant number, since it is smaller than the sum of its proper divisors (171499776).

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

60829440 is a wasteful number, since it uses less digits than its factorization.

60829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 60829440 is about 7799.3230475471. The cubic root of 60829440 is about 393.2824856866.

The spelling of 60829440 in words is "sixty million, eight hundred twenty-nine thousand, four hundred forty".