61890800 has 30 divisors (see below), whose sum is σ = 148693608. Its totient is φ = 24756160.

The previous prime is 61890799. The next prime is 61890839. The reversal of 61890800 is 809816.

It is a super-2 number, since 2×61890800² = 7660942249280000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 76964 + ... + 77763.

Almost surely, 2^61890800 is an apocalyptic number.

It is an amenable number.

61890800 is an abundant number, since it is smaller than the sum of its proper divisors (86802808).

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

61890800 is a wasteful number, since it uses less digits than its factorization.

61890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154745 (or 154734 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 61890800 is about 7867.0706110979. The cubic root of 61890800 is about 395.5566578731.

The spelling of 61890800 in words is "sixty-one million, eight hundred ninety thousand, eight hundred".