61800440 has 64 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 21473280.

The previous prime is 61800437. The next prime is 61800451. The reversal of 61800440 is 4400816.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5345 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 2^61800440 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 61800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79289280).

61800440 is an abundant number, since it is smaller than the sum of its proper divisors (96778120).

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

61800440 is a wasteful number, since it uses less digits than its factorization.

61800440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 61800440 is about 7861.3255879654. The cubic root of 61800440 is about 395.3640610827.

The spelling of 61800440 in words is "sixty-one million, eight hundred thousand, four hundred forty".