61628040 has 160 divisors (see below), whose sum is σ = 216406080. Its totient is φ = 15700608.

The previous prime is 61628027. The next prime is 61628059. The reversal of 61628040 is 4082616.

61628040 is a `hidden beast` number, since 616 + 2 + 8 + 0 + 40 = 666.

61628040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61627995 and 61628013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74107 + ... + 74933.

It is an arithmetic number, because the mean of its divisors is an integer number (1352538).

Almost surely, 2^61628040 is an apocalyptic number.

61628040 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 61628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108203040).

61628040 is an abundant number, since it is smaller than the sum of its proper divisors (154778040).

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

61628040 is a wasteful number, since it uses less digits than its factorization.

61628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61628040 is about 7850.3528583115. The cubic root of 61628040 is about 394.9960796492.

The spelling of 61628040 in words is "sixty-one million, six hundred twenty-eight thousand, forty".