32401020 has 96 divisors (see below), whose sum is σ = 96671232. Its totient is φ = 8090368.

The previous prime is 32401009. The next prime is 32401037. The reversal of 32401020 is 2010423.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32400987 and 32401005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72919 + ... + 73361.

It is an arithmetic number, because the mean of its divisors is an integer number (1006992).

Almost surely, 2^32401020 is an apocalyptic number.

32401020 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 32401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48335616).

32401020 is an abundant number, since it is smaller than the sum of its proper divisors (64270212).

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

32401020 is a wasteful number, since it uses less digits than its factorization.

32401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 32401020 is about 5692.1893854650. The cubic root of 32401020 is about 318.8009161263.

Adding to 32401020 its reverse (2010423), we get a palindrome (34411443).

The spelling of 32401020 in words is "thirty-two million, four hundred one thousand, twenty".