61746048 has 384 divisors, whose sum is σ = 237619200. Its totient is φ = 14929920.

The previous prime is 61746011. The next prime is 61746071. The reversal of 61746048 is 84064716.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991793 + ... + 1991823.

It is an arithmetic number, because the mean of its divisors is an integer number (618800).

Almost surely, 2^61746048 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 61746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118809600).

61746048 is an abundant number, since it is smaller than the sum of its proper divisors (175873152).

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

61746048 is a wasteful number, since it uses less digits than its factorization.

61746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

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

The square root of 61746048 is about 7857.8653589890. The cubic root of 61746048 is about 395.2480373456.

It can be divided in two parts, 617 and 46048, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 61746048 in words is "sixty-one million, seven hundred forty-six thousand, forty-eight".