61632306 has 64 divisors (see below), whose sum is σ = 142454400. Its totient is φ = 19735488.

The previous prime is 61632299. The next prime is 61632313. The reversal of 61632306 is 60323616.

It is an interprime number because it is at equal distance from previous prime (61632299) and next prime (61632313).

It is a super-2 number, since 2×61632306² = 7597082285755272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 61632306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217641 + ... + 217923.

It is an arithmetic number, because the mean of its divisors is an integer number (2225850).

Almost surely, 2^61632306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61632306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71227200).

61632306 is an abundant number, since it is smaller than the sum of its proper divisors (80822094).

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

61632306 is a wasteful number, since it uses less digits than its factorization.

61632306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 61632306 is about 7850.6245611416. The cubic root of 61632306 is about 395.0051935438.

The spelling of 61632306 in words is "sixty-one million, six hundred thirty-two thousand, three hundred six".