61835840 has 84 divisors (see below), whose sum is σ = 161950908. Its totient is φ = 22471680.

The previous prime is 61835833. The next prime is 61835857. The reversal of 61835840 is 4853816.

It can be written as a sum of positive squares in 2 ways, for example, as 17106496 + 44729344 = 4136^2 + 6688^2 .

It is a super-2 number, since 2×61835840² = 7647342217011200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61835840.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37922 + ... + 39518.

It is an arithmetic number, because the mean of its divisors is an integer number (1927987).

Almost surely, 2^61835840 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 61835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80975454).

61835840 is an abundant number, since it is smaller than the sum of its proper divisors (100115068).

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

61835840 is a wasteful number, since it uses less digits than its factorization.

61835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 61835840 is about 7863.5767943093. The cubic root of 61835840 is about 395.4395363613.

The spelling of 61835840 in words is "sixty-one million, eight hundred thirty-five thousand, eight hundred forty".