61631744 has 36 divisors (see below), whose sum is σ = 129507840. Its totient is φ = 29191680.

The previous prime is 61631741. The next prime is 61631747. The reversal of 61631744 is 44713616.

It is an interprime number because it is at equal distance from previous prime (61631741) and next prime (61631747).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 61631744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61631741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1472 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (3597440).

Almost surely, 2^61631744 is an apocalyptic number.

61631744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61631744 is an abundant number, since it is smaller than the sum of its proper divisors (67876096).

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

61631744 is a wasteful number, since it uses less digits than its factorization.

61631744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12692 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 61631744 is about 7850.5887677295. The cubic root of 61631744 is about 395.0039929095.

The spelling of 61631744 in words is "sixty-one million, six hundred thirty-one thousand, seven hundred forty-four".