61610040 has 96 divisors (see below), whose sum is σ = 212032080. Its totient is φ = 15461376.

The previous prime is 61610011. The next prime is 61610053. The reversal of 61610040 is 4001616.

61610040 is a `hidden beast` number, since 616 + 10 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61609995 and 61610022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087 + ... + 11153.

Almost surely, 2^61610040 is an apocalyptic number.

61610040 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 61610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106016040).

61610040 is an abundant number, since it is smaller than the sum of its proper divisors (150422040).

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

61610040 is a wasteful number, since it uses less digits than its factorization.

61610040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101 (or 10094 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61610040 is about 7849.2063293049. The cubic root of 61610040 is about 394.9576197655.

Adding to 61610040 its reverse (4001616), we get a palindrome (65611656).

The spelling of 61610040 in words is "sixty-one million, six hundred ten thousand, forty".