32660400 has 120 divisors (see below), whose sum is σ = 110845584. Its totient is φ = 8192000.

The previous prime is 32660399. The next prime is 32660401. The reversal of 32660400 is 406623.

It is an interprime number because it is at equal distance from previous prime (32660399) and next prime (32660401).

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

It is not an unprimeable number, because it can be changed into a prime (32660401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19600 + ... + 21200.

Almost surely, 2^32660400 is an apocalyptic number.

32660400 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 32660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55422792).

32660400 is an abundant number, since it is smaller than the sum of its proper divisors (78185184).

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

32660400 is a wasteful number, since it uses less digits than its factorization.

32660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 32660400 is about 5714.9278210665. The cubic root of 32660400 is about 319.6493555000.

It can be divided in two parts, 326 and 60400, that added together give a triangular number (60726 = T₃₄₈).

The spelling of 32660400 in words is "thirty-two million, six hundred sixty thousand, four hundred".