61959744 has 252 divisors, whose sum is σ = 224852992. Its totient is φ = 15966720.

The previous prime is 61959727. The next prime is 61959761. The reversal of 61959744 is 44795916.

61959744 is a `hidden beast` number, since 6 + 19 + 597 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (61959727) and next prime (61959761).

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 61959744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487809 + ... + 487935.

Almost surely, 2^61959744 is an apocalyptic number.

61959744 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 61959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112426496).

61959744 is an abundant number, since it is smaller than the sum of its proper divisors (162893248).

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

61959744 is a wasteful number, since it uses less digits than its factorization.

61959744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 61959744 is about 7871.4512003823. The cubic root of 61959744 is about 395.7034817311.

It can be divided in two parts, 61 and 959744, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 61959744 in words is "sixty-one million, nine hundred fifty-nine thousand, seven hundred forty-four".