61484784 has 80 divisors (see below), whose sum is σ = 169632000. Its totient is φ = 19123200.

The previous prime is 61484777. The next prime is 61484803. The reversal of 61484784 is 48748416.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (172032) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122967 + ... + 123465.

It is an arithmetic number, because the mean of its divisors is an integer number (2120400).

Almost surely, 2^61484784 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 61484784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816000).

61484784 is an abundant number, since it is smaller than the sum of its proper divisors (108147216).

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

61484784 is a wasteful number, since it uses less digits than its factorization.

61484784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 61484784 is about 7841.2233739385. The cubic root of 61484784 is about 394.6897826023.

The spelling of 61484784 in words is "sixty-one million, four hundred eighty-four thousand, seven hundred eighty-four".