61098000 has 160 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 15308800.

The previous prime is 61097987. The next prime is 61098001. The reversal of 61098000 is 89016.

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 (61098001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101701 + ... + 102299.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^61098000 is an apocalyptic number.

61098000 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 61098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

61098000 is an abundant number, since it is smaller than the sum of its proper divisors (147817200).

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

61098000 is a wasteful number, since it uses less digits than its factorization.

61098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

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

The square root of 61098000 is about 7816.5209652377. The cubic root of 61098000 is about 393.8604124727.

The spelling of 61098000 in words is "sixty-one million, ninety-eight thousand".