61621800 has 96 divisors (see below), whose sum is σ = 197249280. Its totient is φ = 15897600.

The previous prime is 61621793. The next prime is 61621801. The reversal of 61621800 is 812616.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (61621801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16944 + ... + 20256.

It is an arithmetic number, because the mean of its divisors is an integer number (2054680).

Almost surely, 2^61621800 is an apocalyptic number.

61621800 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 61621800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98624640).

61621800 is an abundant number, since it is smaller than the sum of its proper divisors (135627480).

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

61621800 is a wasteful number, since it uses less digits than its factorization.

61621800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 61621800 is about 7849.9554138861. The cubic root of 61621800 is about 394.9827477377.

The spelling of 61621800 in words is "sixty-one million, six hundred twenty-one thousand, eight hundred".