61416640 has 56 divisors (see below), whose sum is σ = 148772880. Its totient is φ = 24142848.

The previous prime is 61416637. The next prime is 61416659. The reversal of 61416640 is 4661416.

It is a junction number, because it is equal to n+sod(n) for n = 61416599 and 61416608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17254 + ... + 20506.

Almost surely, 2^61416640 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 61416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74386440).

61416640 is an abundant number, since it is smaller than the sum of its proper divisors (87356240).

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

61416640 is a wasteful number, since it uses less digits than its factorization.

61416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 61416640 is about 7836.8769289813. The cubic root of 61416640 is about 394.5439162532.

The spelling of 61416640 in words is "sixty-one million, four hundred sixteen thousand, six hundred forty".