61038900 has 288 divisors, whose sum is σ = 221652480. Its totient is φ = 14307840.

The previous prime is 61038883. The next prime is 61038911. The reversal of 61038900 is 983016.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1298677 + ... + 1298723.

Almost surely, 2^61038900 is an apocalyptic number.

61038900 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 61038900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

61038900 is an abundant number, since it is smaller than the sum of its proper divisors (160613580).

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

61038900 is a wasteful number, since it uses less digits than its factorization.

61038900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61038900 is about 7812.7395963260. The cubic root of 61038900 is about 393.7333779831.

The spelling of 61038900 in words is "sixty-one million, thirty-eight thousand, nine hundred".