61461504 has 264 divisors, whose sum is σ = 208630240. Its totient is φ = 17915904.

The previous prime is 61461493. The next prime is 61461529. The reversal of 61461504 is 40516416.

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 23 ways as a sum of consecutive naturals, for example, 3234807 + ... + 3234825.

Almost surely, 2^61461504 is an apocalyptic number.

61461504 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 61461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104315120).

61461504 is an abundant number, since it is smaller than the sum of its proper divisors (147168736).

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

61461504 is a wasteful number, since it uses less digits than its factorization.

61461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 37 counting only the distinct ones).

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

The square root of 61461504 is about 7839.7387711581. The cubic root of 61461504 is about 394.6399624818.

The spelling of 61461504 in words is "sixty-one million, four hundred sixty-one thousand, five hundred four".