61510464 has 84 divisors (see below), whose sum is σ = 184013856. Its totient is φ = 19607808.

The previous prime is 61510439. The next prime is 61510469. The reversal of 61510464 is 46401516.

61510464 is a `hidden beast` number, since 615 + 1 + 0 + 46 + 4 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61510469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10927 + ... + 15569.

Almost surely, 2^61510464 is an apocalyptic number.

61510464 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 61510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92006928).

61510464 is an abundant number, since it is smaller than the sum of its proper divisors (122503392).

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

61510464 is a wasteful number, since it uses less digits than its factorization.

61510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4671 counting only the distinct ones).

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

The square root of 61510464 is about 7842.8607025753. The cubic root of 61510464 is about 394.7447242328.

The spelling of 61510464 in words is "sixty-one million, five hundred ten thousand, four hundred sixty-four".