61582440 has 64 divisors (see below), whose sum is σ = 185774400. Its totient is φ = 16330752.

The previous prime is 61582429. The next prime is 61582441. The reversal of 61582440 is 4428516.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61582398 and 61582407.

It is not an unprimeable number, because it can be changed into a prime (61582441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21831 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (2902725).

Almost surely, 2^61582440 is an apocalyptic number.

61582440 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 61582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92887200).

61582440 is an abundant number, since it is smaller than the sum of its proper divisors (124191960).

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

61582440 is a wasteful number, since it uses less digits than its factorization.

61582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 61582440 is about 7847.4479928191. The cubic root of 61582440 is about 394.8986333920.

The spelling of 61582440 in words is "sixty-one million, five hundred eighty-two thousand, four hundred forty".