61434240 has 192 divisors, whose sum is σ = 228141360. Its totient is φ = 14020608.

The previous prime is 61434227. The next prime is 61434323. The reversal of 61434240 is 4243416.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61434240.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93754 + ... + 94406.

Almost surely, 2^61434240 is an apocalyptic number.

61434240 is a gapful number since it is divisible by the number (60) 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 61434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114070680).

61434240 is an abundant number, since it is smaller than the sum of its proper divisors (166707120).

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

61434240 is a wasteful number, since it uses less digits than its factorization.

61434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 61434240 is about 7837.9997448329. Note that the first 3 decimals coincide. The cubic root of 61434240 is about 394.5816004471.

Adding to 61434240 its reverse (4243416), we get a palindrome (65677656).

The spelling of 61434240 in words is "sixty-one million, four hundred thirty-four thousand, two hundred forty".