61889400 has 192 divisors, whose sum is σ = 217471200. Its totient is φ = 16174080.

The previous prime is 61889357. The next prime is 61889447. The reversal of 61889400 is 498816.

61889400 = T₇₁ + T₇₂ + ... + T₇₁₈.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394122 + ... + 394278.

Almost surely, 2^61889400 is an apocalyptic number.

61889400 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 61889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108735600).

61889400 is an abundant number, since it is smaller than the sum of its proper divisors (155581800).

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

61889400 is a wasteful number, since it uses less digits than its factorization.

61889400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61889400 is about 7866.9816321128. The cubic root of 61889400 is about 395.5536752893.

The spelling of 61889400 in words is "sixty-one million, eight hundred eighty-nine thousand, four hundred".