61748946 has 128 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 16511040.

The previous prime is 61748941. The next prime is 61748957. The reversal of 61748946 is 64984716.

It is a super-3 number, since 3×61748946³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (61748941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471301 + ... + 471431.

It is an arithmetic number, because the mean of its divisors is an integer number (1306800).

Almost surely, 2^61748946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61748946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

61748946 is an abundant number, since it is smaller than the sum of its proper divisors (105521454).

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

61748946 is a wasteful number, since it uses less digits than its factorization.

61748946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 61748946 is about 7858.0497580507. The cubic root of 61748946 is about 395.2542207961.

The spelling of 61748946 in words is "sixty-one million, seven hundred forty-eight thousand, nine hundred forty-six".