61152000 has 432 divisors, whose sum is σ = 254453472. Its totient is φ = 12902400.

The previous prime is 61151999. The next prime is 61152011. The reversal of 61152000 is 25116.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703994 + ... + 4704006.

Almost surely, 2^61152000 is an apocalyptic number.

61152000 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 61152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226736).

61152000 is an abundant number, since it is smaller than the sum of its proper divisors (193301472).

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

61152000 is a wasteful number, since it uses less digits than its factorization.

61152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 61152000 is about 7819.9744245106. The cubic root of 61152000 is about 393.9764129936.

Adding to 61152000 its reverse (25116), we get a palindrome (61177116).

The spelling of 61152000 in words is "sixty-one million, one hundred fifty-two thousand".