61607416 has 64 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 27095040.

The previous prime is 61607407. The next prime is 61607417. The reversal of 61607416 is 61470616.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61607417) 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, 312630 + ... + 312826.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2^61607416 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 61607416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65197440).

61607416 is an abundant number, since it is smaller than the sum of its proper divisors (68787464).

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

61607416 is a wasteful number, since it uses less digits than its factorization.

61607416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 61607416 is about 7849.0391768674. The cubic root of 61607416 is about 394.9520125435.

The spelling of 61607416 in words is "sixty-one million, six hundred seven thousand, four hundred sixteen".