61696440 has 96 divisors (see below), whose sum is σ = 215953920. Its totient is φ = 15185664.

The previous prime is 61696429. The next prime is 61696457. The reversal of 61696440 is 4469616.

61696440 is a `hidden beast` number, since 6 + 1 + 6 + 9 + 644 + 0 = 666.

It is a super-3 number, since 3×61696440³ (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61696395 and 61696404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (2249520).

Almost surely, 2^61696440 is an apocalyptic number.

61696440 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 61696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107976960).

61696440 is an abundant number, since it is smaller than the sum of its proper divisors (154257480).

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

61696440 is a wasteful number, since it uses less digits than its factorization.

61696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13206 counting only the distinct ones).

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

The square root of 61696440 is about 7854.7081422546. The cubic root of 61696440 is about 395.1421589473.

The spelling of 61696440 in words is "sixty-one million, six hundred ninety-six thousand, four hundred forty".