61288920 has 384 divisors, whose sum is σ = 260467200. Its totient is φ = 12545280.

The previous prime is 61288907. The next prime is 61288933. The reversal of 61288920 is 2988216.

It is an interprime number because it is at equal distance from previous prime (61288907) and next prime (61288933).

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 95 ways as a sum of consecutive naturals, for example, 914727 + ... + 914793.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^61288920 is an apocalyptic number.

61288920 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 61288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

61288920 is an abundant number, since it is smaller than the sum of its proper divisors (199178280).

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

61288920 is a wasteful number, since it uses less digits than its factorization.

61288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

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

The square root of 61288920 is about 7828.7240339662. The cubic root of 61288920 is about 394.2702329865.

The spelling of 61288920 in words is "sixty-one million, two hundred eighty-eight thousand, nine hundred twenty".