61938800 has 120 divisors (see below), whose sum is σ = 185619072. Its totient is φ = 19296000.

The previous prime is 61938781. The next prime is 61938827. The reversal of 61938800 is 883916.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 29795 + ... + 31805.

Almost surely, 2^61938800 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 61938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92809536).

61938800 is an abundant number, since it is smaller than the sum of its proper divisors (123680272).

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

61938800 is a wasteful number, since it uses less digits than its factorization.

61938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 61938800 is about 7870.1207106372. The cubic root of 61938800 is about 395.6588906942.

The spelling of 61938800 in words is "sixty-one million, nine hundred thirty-eight thousand, eight hundred".