61638200 has 96 divisors (see below), whose sum is σ = 156344160. Its totient is φ = 22464000.

The previous prime is 61638167. The next prime is 61638233. The reversal of 61638200 is 283616.

It is a Cunningham number, because it is equal to 7851²-1.

It is an interprime number because it is at equal distance from previous prime (61638167) and next prime (61638233).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 61638200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392522 + ... + 392678.

It is an arithmetic number, because the mean of its divisors is an integer number (1628585).

Almost surely, 2^61638200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61638200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78172080).

61638200 is an abundant number, since it is smaller than the sum of its proper divisors (94705960).

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

61638200 is a wasteful number, since it uses less digits than its factorization.

61638200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 61638200 is about 7850.9999363138. Note that the first 4 decimals coincide. The cubic root of 61638200 is about 395.0177848105.

The spelling of 61638200 in words is "sixty-one million, six hundred thirty-eight thousand, two hundred".