61877816 has 64 divisors (see below), whose sum is σ = 155796480. Its totient is φ = 22250880.

The previous prime is 61877789. The next prime is 61877833.

61877816 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61877816² = 7657728225859712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 4145 + ... + 11871.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^61877816 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 61877816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77898240).

61877816 is an abundant number, since it is smaller than the sum of its proper divisors (93918664).

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

61877816 is a wasteful number, since it uses less digits than its factorization.

61877816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7760 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 61877816 is about 7866.2453559497. The cubic root of 61877816 is about 395.5289948126.

The spelling of 61877816 in words is "sixty-one million, eight hundred seventy-seven thousand, eight hundred sixteen".