61842944 has 60 divisors (see below), whose sum is σ = 128869356. Its totient is φ = 29632512.

The previous prime is 61842931. The next prime is 61842953. The reversal of 61842944 is 44924816.

It is a junction number, because it is equal to n+sod(n) for n = 61842898 and 61842907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1166822 + ... + 1166874.

Almost surely, 2^61842944 is an apocalyptic number.

61842944 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 61842944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64434678).

61842944 is an abundant number, since it is smaller than the sum of its proper divisors (67026412).

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

61842944 is an frugal number, since it uses more digits than its factorization.

61842944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 98 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 61842944 is about 7864.0284841804. The cubic root of 61842944 is about 395.4546791161.

The spelling of 61842944 in words is "sixty-one million, eight hundred forty-two thousand, nine hundred forty-four".