61129800 has 72 divisors (see below), whose sum is σ = 205300290. Its totient is φ = 16300800.

The previous prime is 61129787. The next prime is 61129819. The reversal of 61129800 is 892116.

It can be written as a sum of positive squares in 3 ways, for example, as 28708164 + 32421636 = 5358^2 + 5694^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15181 + ... + 18780.

Almost surely, 2^61129800 is an apocalyptic number.

61129800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61129800 is an abundant number, since it is smaller than the sum of its proper divisors (144170490).

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

61129800 is a wasteful number, since it uses less digits than its factorization.

61129800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33983 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 61129800 is about 7818.5548536798. The cubic root of 61129800 is about 393.9287321602.

The spelling of 61129800 in words is "sixty-one million, one hundred twenty-nine thousand, eight hundred".