61431744 has 224 divisors, whose sum is σ = 197510400. Its totient is φ = 16629760.

The previous prime is 61431737. The next prime is 61431751. The reversal of 61431744 is 44713416.

61431744 = T₂₃₂ + T₂₃₃ + ... + T₇₂₄.

It is an interprime number because it is at equal distance from previous prime (61431737) and next prime (61431751).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041187 + ... + 1041245.

Almost surely, 2^61431744 is an apocalyptic number.

61431744 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 61431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98755200).

61431744 is an abundant number, since it is smaller than the sum of its proper divisors (136078656).

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

61431744 is a wasteful number, since it uses less digits than its factorization.

61431744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

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

The square root of 61431744 is about 7837.8405189185. The cubic root of 61431744 is about 394.5762565813.

It can be divided in two parts, 6143 and 1744, that added together give a palindrome (7887).

The spelling of 61431744 in words is "sixty-one million, four hundred thirty-one thousand, seven hundred forty-four".