61677693 has 120 divisors (see below), whose sum is σ = 123594240. Its totient is φ = 29937600.

The previous prime is 61677691. The next prime is 61677701. The reversal of 61677693 is 39677616.

It is not a de Polignac number, because 61677693 - 2¹ = 61677691 is a prime.

Its product of digits (285768) is a multiple of the sum of its prime divisors (81).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61677691) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1989588 + ... + 1989618.

It is an arithmetic number, because the mean of its divisors is an integer number (1029952).

Almost surely, 2^61677693 is an apocalyptic number.

61677693 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61677693 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

61677693 is a wasteful number, since it uses less digits than its factorization.

61677693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 61677693 is about 7853.5146908884. The cubic root of 61677693 is about 395.1021324321.

The spelling of 61677693 in words is "sixty-one million, six hundred seventy-seven thousand, six hundred ninety-three".