61369920 has 112 divisors (see below), whose sum is σ = 216529920. Its totient is φ = 16363008.

The previous prime is 61369909. The next prime is 61369937. The reversal of 61369920 is 2996316.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 5089 + ... + 12191.

Almost surely, 2^61369920 is an apocalyptic number.

61369920 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 61369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108264960).

61369920 is an abundant number, since it is smaller than the sum of its proper divisors (155160000).

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

61369920 is a wasteful number, since it uses less digits than its factorization.

61369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 61369920 is about 7833.8955826587. The cubic root of 61369920 is about 394.4438469137.

The spelling of 61369920 in words is "sixty-one million, three hundred sixty-nine thousand, nine hundred twenty".