61018496 has 128 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 23040000.

The previous prime is 61018493. The next prime is 61018499. The reversal of 61018496 is 69481016.

It is an interprime number because it is at equal distance from previous prime (61018493) and next prime (61018499).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61018493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404021 + ... + 404171.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^61018496 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 61018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

61018496 is an abundant number, since it is smaller than the sum of its proper divisors (95261824).

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

61018496 is a wasteful number, since it uses less digits than its factorization.

61018496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 61018496 is about 7811.4336712283. The cubic root of 61018496 is about 393.6895008754.

The spelling of 61018496 in words is "sixty-one million, eighteen thousand, four hundred ninety-six".