61454624 has 96 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 23896320.

The previous prime is 61454621. The next prime is 61454629. The reversal of 61454624 is 42645416.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (61454621) 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, 120482 + ... + 120990.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^61454624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61454624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

61454624 is an abundant number, since it is smaller than the sum of its proper divisors (92769376).

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

61454624 is a wasteful number, since it uses less digits than its factorization.

61454624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 529 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 61454624 is about 7839.2999687472. The cubic root of 61454624 is about 394.6252366014.

The spelling of 61454624 in words is "sixty-one million, four hundred fifty-four thousand, six hundred twenty-four".