32401000 has 32 divisors (see below), whose sum is σ = 75820680. Its totient is φ = 12960000.

The previous prime is 32400961. The next prime is 32401003. The reversal of 32401000 is 10423.

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 10666756 = 4662^2 + 3266^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32401003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15201 + ... + 17200.

Almost surely, 2^32401000 is an apocalyptic number.

It is an amenable number.

32401000 is an abundant number, since it is smaller than the sum of its proper divisors (43419680).

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

32401000 is a wasteful number, since it uses less digits than its factorization.

32401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32422 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 32401000 is about 5692.1876286714. The cubic root of 32401000 is about 318.8008505314.

Adding to 32401000 its reverse (10423), we get a palindrome (32411423).

The spelling of 32401000 in words is "thirty-two million, four hundred one thousand".