61676040 has 128 divisors (see below), whose sum is σ = 196992000. Its totient is φ = 15418368.

The previous prime is 61676029. The next prime is 61676059. The reversal of 61676040 is 4067616.

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

It is a junction number, because it is equal to n+sod(n) for n = 61675989 and 61676007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128521 + ... + 128999.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^61676040 is an apocalyptic number.

61676040 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 61676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

61676040 is an abundant number, since it is smaller than the sum of its proper divisors (135315960).

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

61676040 is a wasteful number, since it uses less digits than its factorization.

61676040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61676040 is about 7853.4094506781. The cubic root of 61676040 is about 395.0986027408.

The spelling of 61676040 in words is "sixty-one million, six hundred seventy-six thousand, forty".