61734440 has 32 divisors (see below), whose sum is σ = 141185160. Its totient is φ = 24288000.

The previous prime is 61734437. The next prime is 61734443. The reversal of 61734440 is 4443716.

It is an interprime number because it is at equal distance from previous prime (61734437) and next prime (61734443).

It can be written as a sum of positive squares in 4 ways, for example, as 36554116 + 25180324 = 6046^2 + 5018^2 .

It is a super-2 number, since 2×61734440² = 7622282164227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61734443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10211 + ... + 15090.

Almost surely, 2^61734440 is an apocalyptic number.

It is an amenable number.

61734440 is an abundant number, since it is smaller than the sum of its proper divisors (79450720).

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

61734440 is a wasteful number, since it uses less digits than its factorization.

61734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25373 (or 25369 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 61734440 is about 7857.1267012821. The cubic root of 61734440 is about 395.2232674648.

The spelling of 61734440 in words is "sixty-one million, seven hundred thirty-four thousand, four hundred forty".