61936896 has 144 divisors (see below), whose sum is σ = 193673088. Its totient is φ = 17203200.

The previous prime is 61936883. The next prime is 61936939. The reversal of 61936896 is 69863916.

It is a super-2 number, since 2×61936896² = 7672358172229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220276 + ... + 220556.

It is an arithmetic number, because the mean of its divisors is an integer number (1344952).

Almost surely, 2^61936896 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 61936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96836544).

61936896 is an abundant number, since it is smaller than the sum of its proper divisors (131736192).

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

61936896 is a wasteful number, since it uses less digits than its factorization.

61936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 61936896 is about 7869.9997458704. Note that the first 3 decimals coincide. The cubic root of 61936896 is about 395.6548364651.

The spelling of 61936896 in words is "sixty-one million, nine hundred thirty-six thousand, eight hundred ninety-six".