61534144 has 28 divisors (see below), whose sum is σ = 139551664. Its totient is φ = 26371584.

The previous prime is 61534133. The next prime is 61534147. The reversal of 61534144 is 44143516.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61534147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68229 + ... + 69124.

It is an arithmetic number, because the mean of its divisors is an integer number (4983988).

Almost surely, 2^61534144 is an apocalyptic number.

61534144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61534144 is an abundant number, since it is smaller than the sum of its proper divisors (78017520).

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

61534144 is a wasteful number, since it uses less digits than its factorization.

61534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137372 (or 137362 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 61534144 is about 7844.3702105395. The cubic root of 61534144 is about 394.7953733700.

The spelling of 61534144 in words is "sixty-one million, five hundred thirty-four thousand, one hundred forty-four".