61948416 has 80 divisors (see below), whose sum is σ = 170489088. Its totient is φ = 19968000.

The previous prime is 61948373. The next prime is 61948427. The reversal of 61948416 is 61484916.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46966 + ... + 48266.

Almost surely, 2^61948416 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 61948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244544).

61948416 is an abundant number, since it is smaller than the sum of its proper divisors (108540672).

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

61948416 is a wasteful number, since it uses less digits than its factorization.

61948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1337 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 61948416 is about 7870.7316051305. The cubic root of 61948416 is about 395.6793649850.

The spelling of 61948416 in words is "sixty-one million, nine hundred forty-eight thousand, four hundred sixteen".