61283040 has 384 divisors, whose sum is σ = 251983872. Its totient is φ = 12165120.

The previous prime is 61283039. The next prime is 61283059. The reversal of 61283040 is 4038216.

It is a happy number.

61283040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61283040² = 7511221983283200, which contains 22 as substring.

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 61283040.

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 63 ways as a sum of consecutive naturals, for example, 1004610 + ... + 1004670.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^61283040 is an apocalyptic number.

61283040 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 61283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

61283040 is an abundant number, since it is smaller than the sum of its proper divisors (190700832).

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

61283040 is a wasteful number, since it uses less digits than its factorization.

61283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61283040 is about 7828.3484848338. The cubic root of 61283040 is about 394.2576239477.

The spelling of 61283040 in words is "sixty-one million, two hundred eighty-three thousand, forty".