32642400 has 288 divisors, whose sum is σ = 127491840. Its totient is φ = 7096320.

The previous prime is 32642387. The next prime is 32642417. The reversal of 32642400 is 424623.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487167 + ... + 487233.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^32642400 is an apocalyptic number.

32642400 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 32642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

32642400 is an abundant number, since it is smaller than the sum of its proper divisors (94849440).

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

32642400 is a wasteful number, since it uses less digits than its factorization.

32642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 32642400 is about 5713.3527809860. The cubic root of 32642400 is about 319.5906223377.

The spelling of 32642400 in words is "thirty-two million, six hundred forty-two thousand, four hundred".