61838920 has 128 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 19630080.

The previous prime is 61838869. The next prime is 61838921. The reversal of 61838920 is 2983816.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61838920.

It is not an unprimeable number, because it can be changed into a prime (61838921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108396 + ... + 108964.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2^61838920 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 61838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

61838920 is an abundant number, since it is smaller than the sum of its proper divisors (110529080).

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

61838920 is a wasteful number, since it uses less digits than its factorization.

61838920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 61838920 is about 7863.7726315046. The cubic root of 61838920 is about 395.4461017747.

The spelling of 61838920 in words is "sixty-one million, eight hundred thirty-eight thousand, nine hundred twenty".