32413920 has 192 divisors, whose sum is σ = 127443456. Its totient is φ = 6727680.

The previous prime is 32413853. The next prime is 32413921. The reversal of 32413920 is 2931423.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32413921) 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, 36522 + ... + 37398.

It is an arithmetic number, because the mean of its divisors is an integer number (663768).

Almost surely, 2^32413920 is an apocalyptic number.

32413920 is a gapful number since it is divisible by the number (30) 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 32413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63721728).

32413920 is an abundant number, since it is smaller than the sum of its proper divisors (95029536).

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

32413920 is a wasteful number, since it uses less digits than its factorization.

32413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 32413920 is about 5693.3224043611. The cubic root of 32413920 is about 318.8432191789.

It can be divided in two parts, 32413 and 920, that added together give a palindrome (33333).

The spelling of 32413920 in words is "thirty-two million, four hundred thirteen thousand, nine hundred twenty".