61734144 has 72 divisors (see below), whose sum is σ = 169668352. Its totient is φ = 19906560.

The previous prime is 61734137. The next prime is 61734161. The reversal of 61734144 is 44143716.

It is a super-2 number, since 2×61734144² = 7622209070825472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22512 + ... + 25104.

Almost surely, 2^61734144 is an apocalyptic number.

61734144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84834176).

61734144 is an abundant number, since it is smaller than the sum of its proper divisors (107934208).

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

61734144 is a wasteful number, since it uses less digits than its factorization.

61734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2629 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 61734144 is about 7857.1078648571. The cubic root of 61734144 is about 395.2226358007. Note that the first 3 decimals are identical.

The spelling of 61734144 in words is "sixty-one million, seven hundred thirty-four thousand, one hundred forty-four".