61920000 has 270 divisors, whose sum is σ = 228280052. Its totient is φ = 16128000.

The previous prime is 61919947. The next prime is 61920007. The reversal of 61920000 is 2916.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (61920007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439979 + ... + 1440021.

Almost surely, 2^61920000 is an apocalyptic number.

61920000 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 61920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114140026).

61920000 is an abundant number, since it is smaller than the sum of its proper divisors (166360052).

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

61920000 is an equidigital number, since it uses as much as digits as its factorization.

61920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 61920000 is about 7868.9262291624. The cubic root of 61920000 is about 395.6188558003.

Adding to 61920000 its reverse (2916), we get a palindrome (61922916).

The spelling of 61920000 in words is "sixty-one million, nine hundred twenty thousand".