61577340 has 96 divisors (see below), whose sum is σ = 190632960. Its totient is φ = 14726400.

The previous prime is 61577339. The next prime is 61577357. The reversal of 61577340 is 4377516.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51550 + ... + 52730.

It is an arithmetic number, because the mean of its divisors is an integer number (1985760).

Almost surely, 2^61577340 is an apocalyptic number.

61577340 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 61577340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95316480).

61577340 is an abundant number, since it is smaller than the sum of its proper divisors (129055620).

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

61577340 is a wasteful number, since it uses less digits than its factorization.

61577340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 61577340 is about 7847.1230396879. The cubic root of 61577340 is about 394.8877318069.

The spelling of 61577340 in words is "sixty-one million, five hundred seventy-seven thousand, three hundred forty".