61832040 has 64 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 16216320.

The previous prime is 61832039. The next prime is 61832051. The reversal of 61832040 is 4023816.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61832040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097 + ... + 11543.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^61832040 is an apocalyptic number.

61832040 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 61832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

61832040 is an abundant number, since it is smaller than the sum of its proper divisors (126727320).

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

61832040 is a wasteful number, since it uses less digits than its factorization.

61832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61832040 is about 7863.3351702697. The cubic root of 61832040 is about 395.4314358756.

Adding to 61832040 its reverse (4023816), we get a palindrome (65855856).

The spelling of 61832040 in words is "sixty-one million, eight hundred thirty-two thousand, forty".