61506456 has 64 divisors (see below), whose sum is σ = 171348480. Its totient is φ = 18238080.

The previous prime is 61506451. The next prime is 61506461. The reversal of 61506456 is 65460516.

It is an interprime number because it is at equal distance from previous prime (61506451) and next prime (61506461).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9930 + ... + 14886.

It is an arithmetic number, because the mean of its divisors is an integer number (2677320).

Almost surely, 2^61506456 is an apocalyptic number.

61506456 is a gapful number since it is divisible by the number (66) 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 61506456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85674240).

61506456 is an abundant number, since it is smaller than the sum of its proper divisors (109842024).

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

61506456 is a wasteful number, since it uses less digits than its factorization.

61506456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 61506456 is about 7842.6051794031. The cubic root of 61506456 is about 394.7361502379.

The spelling of 61506456 in words is "sixty-one million, five hundred six thousand, four hundred fifty-six".