32400720 has 120 divisors (see below), whose sum is σ = 118733472. Its totient is φ = 7852800.

The previous prime is 32400707. The next prime is 32400749. The reversal of 32400720 is 2700423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32400693 and 32400702.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5875 + ... + 9965.

Almost surely, 2^32400720 is an apocalyptic number.

32400720 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 32400720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59366736).

32400720 is an abundant number, since it is smaller than the sum of its proper divisors (86332752).

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

32400720 is a wasteful number, since it uses less digits than its factorization.

32400720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 32400720 is about 5692.1630335049. The cubic root of 32400720 is about 318.7999322008.

The spelling of 32400720 in words is "thirty-two million, four hundred thousand, seven hundred twenty".