61046496 has 144 divisors (see below), whose sum is σ = 200962944. Its totient is φ = 17217792.

The previous prime is 61046477. The next prime is 61046497. The reversal of 61046496 is 69464016.

61046496 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 649 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61046496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61046497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215571 + ... + 215853.

It is an arithmetic number, because the mean of its divisors is an integer number (1395576).

Almost surely, 2^61046496 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 61046496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100481472).

61046496 is an abundant number, since it is smaller than the sum of its proper divisors (139916448).

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

61046496 is a wasteful number, since it uses less digits than its factorization.

61046496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61046496 is about 7813.2257102941. The cubic root of 61046496 is about 393.7497100527.

The spelling of 61046496 in words is "sixty-one million, forty-six thousand, four hundred ninety-six".