61674048 has 70 divisors (see below), whose sum is σ = 182836566. Its totient is φ = 20556288.

The previous prime is 61674043. The next prime is 61674049. The reversal of 61674048 is 84047616.

It can be written as a sum of positive squares in only one way, i.e., 61591104 + 82944 = 7848^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61674043) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 765 + ... + 11132.

Almost surely, 2^61674048 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 61674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91418283).

61674048 is an abundant number, since it is smaller than the sum of its proper divisors (121162518).

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

61674048 is a wasteful number, since it uses less digits than its factorization.

61674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 61674048 is about 7853.2826257559. The cubic root of 61674048 is about 395.0943490906.

The spelling of 61674048 in words is "sixty-one million, six hundred seventy-four thousand, forty-eight".