61677792 has 72 divisors (see below), whose sum is σ = 191351160. Its totient is φ = 18689280.

The previous prime is 61677769. The next prime is 61677793. The reversal of 61677792 is 29777616.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61677793) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6567 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (2657655).

Almost surely, 2^61677792 is an apocalyptic number.

It is an amenable number.

61677792 is an abundant number, since it is smaller than the sum of its proper divisors (129673368).

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

61677792 is a wasteful number, since it uses less digits than its factorization.

61677792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19496 (or 19485 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 61677792 is about 7853.5209937963. The cubic root of 61677792 is about 395.1023438272.

The spelling of 61677792 in words is "sixty-one million, six hundred seventy-seven thousand, seven hundred ninety-two".