61674100 has 18 divisors (see below), whose sum is σ = 133833014. Its totient is φ = 24669600.

The previous prime is 61674073. The next prime is 61674163. The reversal of 61674100 is 147616.

It is a happy number.

61674100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2137444 + 59536656 = 1462^2 + 7716^2 .

It is a super-2 number, since 2×61674100² = 7607389221620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308271 + ... + 308470.

Almost surely, 2^61674100 is an apocalyptic number.

It is an amenable number.

61674100 is an abundant number, since it is smaller than the sum of its proper divisors (72158914).

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

61674100 is a wasteful number, since it uses less digits than its factorization.

61674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616755 (or 616748 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 61674100 is about 7853.2859364727. The cubic root of 61674100 is about 395.0944601308.

The spelling of 61674100 in words is "sixty-one million, six hundred seventy-four thousand, one hundred".