88361460 has 108 divisors (see below), whose sum is σ = 294683844. Its totient is φ = 21415680.

The previous prime is 88361459. The next prime is 88361479. The reversal of 88361460 is 6416388.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 49871844 = 6204^2 + 7062^2 .

It is a super-2 number, since 2×88361460² = 15615495226663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19752 + ... + 23808.

Almost surely, 2^88361460 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 88361460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147341922).

88361460 is an abundant number, since it is smaller than the sum of its proper divisors (206322384).

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

88361460 is a wasteful number, since it uses less digits than its factorization.

88361460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88361460 is about 9400.0776592537. The cubic root of 88361460 is about 445.4041860705.

It can be divided in two parts, 8836 and 1460, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 88361460 in words is "eighty-eight million, three hundred sixty-one thousand, four hundred sixty".