61053696 has 216 divisors, whose sum is σ = 201170480. Its totient is φ = 18247680.

The previous prime is 61053659. The next prime is 61053701. The reversal of 61053696 is 69635016.

61053696 is a `hidden beast` number, since 610 + 5 + 36 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 61053696.

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, 836316 + ... + 836388.

Almost surely, 2^61053696 is an apocalyptic number.

61053696 is a gapful number since it is divisible by the number (66) 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 61053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100585240).

61053696 is an abundant number, since it is smaller than the sum of its proper divisors (140116784).

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

61053696 is a wasteful number, since it uses less digits than its factorization.

61053696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61053696 is about 7813.6864539089. The cubic root of 61053696 is about 393.7651894367.

It can be divided in two parts, 6105 and 3696, that added together give a square (9801 = 99²).

The spelling of 61053696 in words is "sixty-one million, fifty-three thousand, six hundred ninety-six".