61677120 has 112 divisors (see below), whose sum is σ = 200729088. Its totient is φ = 16035840.

The previous prime is 61677067. The next prime is 61677131. The reversal of 61677120 is 2177616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 38577 + ... + 40143.

It is an arithmetic number, because the mean of its divisors is an integer number (1792224).

Almost surely, 2^61677120 is an apocalyptic number.

61677120 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 61677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100364544).

61677120 is an abundant number, since it is smaller than the sum of its proper divisors (139051968).

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

61677120 is a wasteful number, since it uses less digits than its factorization.

61677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 61677120 is about 7853.4782103218. The cubic root of 61677120 is about 395.1009088983.

The spelling of 61677120 in words is "sixty-one million, six hundred seventy-seven thousand, one hundred twenty".