61632000 has 240 divisors, whose sum is σ = 224061552. Its totient is φ = 16281600.

The previous prime is 61631981. The next prime is 61632013. The reversal of 61632000 is 23616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 575947 + ... + 576053.

Almost surely, 2^61632000 is an apocalyptic number.

61632000 is a gapful number since it is divisible by the number (60) 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 61632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112030776).

61632000 is an abundant number, since it is smaller than the sum of its proper divisors (162429552).

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

61632000 is a wasteful number, since it uses less digits than its factorization.

61632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61632000 is about 7850.6050722221. The cubic root of 61632000 is about 395.0045398186.

Adding to 61632000 its reverse (23616), we get a palindrome (61655616).

The spelling of 61632000 in words is "sixty-one million, six hundred thirty-two thousand".