61738740 has 96 divisors (see below), whose sum is σ = 219528960. Its totient is φ = 14110848.

The previous prime is 61738727. The next prime is 61738741. The reversal of 61738740 is 4783716.

61738740 is a `hidden beast` number, since 617 + 38 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61738695 and 61738704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61738741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4387 + ... + 11946.

It is an arithmetic number, because the mean of its divisors is an integer number (2286760).

Almost surely, 2^61738740 is an apocalyptic number.

61738740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61738740 is an abundant number, since it is smaller than the sum of its proper divisors (157790220).

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

61738740 is a wasteful number, since it uses less digits than its factorization.

61738740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16358 (or 16350 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 61738740 is about 7857.4003334436. The cubic root of 61738740 is about 395.2324434374.

The spelling of 61738740 in words is "sixty-one million, seven hundred thirty-eight thousand, seven hundred forty".