61357800 has 144 divisors (see below), whose sum is σ = 221369760. Its totient is φ = 14017920.

The previous prime is 61357739. The next prime is 61357819. The reversal of 61357800 is 875316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28357 + ... + 30443.

It is an arithmetic number, because the mean of its divisors is an integer number (1537290).

Almost surely, 2^61357800 is an apocalyptic number.

61357800 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 61357800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110684880).

61357800 is an abundant number, since it is smaller than the sum of its proper divisors (160011960).

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

61357800 is a wasteful number, since it uses less digits than its factorization.

61357800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 61357800 is about 7833.1219829644. The cubic root of 61357800 is about 394.4178788489.

The spelling of 61357800 in words is "sixty-one million, three hundred fifty-seven thousand, eight hundred".