61003040 has 144 divisors (see below), whose sum is σ = 173746944. Its totient is φ = 20160000.

The previous prime is 61003027. The next prime is 61003043. The reversal of 61003040 is 4030016.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (61003043) 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 23 ways as a sum of consecutive naturals, for example, 242915 + ... + 243165.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^61003040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

61003040 is an abundant number, since it is smaller than the sum of its proper divisors (112743904).

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

61003040 is a wasteful number, since it uses less digits than its factorization.

61003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 61003040 is about 7810.4442895395. Note that the first 3 decimals coincide. The cubic root of 61003040 is about 393.6562575193.

Adding to 61003040 its reverse (4030016), we get a palindrome (65033056).

The spelling of 61003040 in words is "sixty-one million, three thousand, forty".