61150464 has 108 divisors (see below), whose sum is σ = 183027936. Its totient is φ = 20362752.

The previous prime is 61150459. The next prime is 61150471. The reversal of 61150464 is 46405116.

61150464 is a `hidden beast` number, since 611 + 5 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61717 + ... + 62699.

Almost surely, 2^61150464 is an apocalyptic number.

61150464 is a gapful number since it is divisible by the number (64) 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 61150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91513968).

61150464 is an abundant number, since it is smaller than the sum of its proper divisors (121877472).

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

61150464 is an frugal number, since it uses more digits than its factorization.

61150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61150464 is about 7819.8762138540. The cubic root of 61150464 is about 393.9731143670.

The spelling of 61150464 in words is "sixty-one million, one hundred fifty thousand, four hundred sixty-four".