61790040 has 224 divisors, whose sum is σ = 225857520. Its totient is φ = 15116544.

The previous prime is 61790021. The next prime is 61790063. The reversal of 61790040 is 4009716.

61790040 is a `hidden beast` number, since 617 + 9 + 0 + 0 + 40 = 666.

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 = 61789986 and 61790013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 378999 + ... + 379161.

Almost surely, 2^61790040 is an apocalyptic number.

61790040 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 61790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112928760).

61790040 is an abundant number, since it is smaller than the sum of its proper divisors (164067480).

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

61790040 is a wasteful number, since it uses less digits than its factorization.

61790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61790040 is about 7860.6640940826. The cubic root of 61790040 is about 395.3418820772.

Adding to 61790040 its reverse (4009716), we get a palindrome (65799756).

The spelling of 61790040 in words is "sixty-one million, seven hundred ninety thousand, forty".