61900800 has 288 divisors, whose sum is σ = 227485440. Its totient is φ = 14745600.

The previous prime is 61900799. The next prime is 61900807. The reversal of 61900800 is 800916.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61900807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996785 + ... + 1996815.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^61900800 is an apocalyptic number.

61900800 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 61900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

61900800 is an abundant number, since it is smaller than the sum of its proper divisors (165584640).

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

61900800 is a wasteful number, since it uses less digits than its factorization.

61900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 61900800 is about 7867.7061460123. The cubic root of 61900800 is about 395.5779607353.

The spelling of 61900800 in words is "sixty-one million, nine hundred thousand, eight hundred".