61964448 has 192 divisors, whose sum is σ = 206260992. Its totient is φ = 15851520.

The previous prime is 61964437. The next prime is 61964467. The reversal of 61964448 is 84446916.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358090 + ... + 358262.

It is an arithmetic number, because the mean of its divisors is an integer number (1074276).

Almost surely, 2^61964448 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 61964448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103130496).

61964448 is an abundant number, since it is smaller than the sum of its proper divisors (144296544).

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

61964448 is a wasteful number, since it uses less digits than its factorization.

61964448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 61964448 is about 7871.7499960301. The cubic root of 61964448 is about 395.7134954484.

The spelling of 61964448 in words is "sixty-one million, nine hundred sixty-four thousand, four hundred forty-eight".